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Updated Dockerfile & Jupyter notebooks.

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This commit is contained in:
Gerd Heber 2017-10-08 20:11:31 -05:00
parent 7fbca6b38d
commit adcd323909
23 changed files with 6403 additions and 7675 deletions
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74
Dockerfile
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@ -1,52 +1,46 @@
FROM jupyter/notebook:stable # original Dockerfile from https://github.com/melhadad/cl-jupyter-docker
MAINTAINER gheber <gheber@hdfgroup.org>
RUN apt-get update FROM python:3.6
RUN DEBIAN_FRONTEND=noninteractive apt-get -y install wget unzip ENV HOME /root
# LaTeX (missing bits) # -----------------------
# zeromq with libsodium for encrypted communication
# https://github.com/ogomezm/zeromq-container
# MAINTAINER Oscar Gómez
RUN DEBIAN_FRONTEND=noninteractive apt-get install texlive-generic-recommended RUN apt-get update && apt-get install -y git build-essential libtool autoconf automake pkg-config unzip libkrb5-dev curl wget pandoc texlive-generic-recommended texlive-xetex
RUN cd /tmp && git clone git://github.com/jedisct1/libsodium.git && cd libsodium && git checkout e2a30a && ./autogen.sh && ./configure && make check && make install && ldconfig
RUN cd /tmp && git clone --depth 1 git://github.com/zeromq/libzmq.git && cd libzmq && ./autogen.sh && ./configure && make
# RUN cd /tmp/libzmq && make check
# SBCL RUN cd /tmp/libzmq && make install && ldconfig
RUN rm /tmp/* -rf
RUN wget -nv http://downloads.sourceforge.net/project/sbcl/sbcl/1.3.11/sbcl-1.3.11-x86-64-linux-binary.tar.bz2 \ # -----------------------
&& tar -jxvf sbcl-1.3.11-x86-64-linux-binary.tar.bz2 \ # sbcl with quicklist
&& cd sbcl-1.3.11-x86-64-linux \ RUN wget http://prdownloads.sourceforge.net/sbcl/sbcl-1.4.0-x86-64-linux-binary.tar.bz2 -O /tmp/sbcl.tar.bz2 && \
&& sh install.sh mkdir /tmp/sbcl && \
tar jxvf /tmp/sbcl.tar.bz2 --strip-components=1 -C /tmp/sbcl/ && \
cd /tmp/sbcl && \
sh install.sh && \
cd /tmp \
rm -rf /tmp/sbcl/
WORKDIR /tmp/
RUN wget http://beta.quicklisp.org/quicklisp.lisp
# Quicklisp RUN sbcl --non-interactive --load quicklisp.lisp --eval "(quicklisp-quickstart:install)" --eval "(setq ql-util::*do-not-prompt* t)" --eval "(ql:add-to-init-file)"
RUN wget -nv https://beta.quicklisp.org/quicklisp.lisp \ RUN sbcl --non-interactive --eval '(ql:quickload "alexandria")' --eval '(ql:quickload "trivial-features")' --eval '(ql:quickload "babel")' --eval '(ql:quickload "kenzo")'
&& sbcl --load quicklisp.lisp --non-interactive --eval "(quicklisp-quickstart:install)"
RUN echo '#-quicklisp' >> /root/.sbclrc
RUN echo '(let ((quicklisp-init (merge-pathnames "quicklisp/setup.lisp"' >> /root/.sbclrc
RUN echo ' (user-homedir-pathname))))' >> /root/.sbclrc
RUN echo ' (when (probe-file quicklisp-init)' >> /root/.sbclrc
RUN echo ' (load quicklisp-init)))' >> /root/.sbclrc
RUN echo '(push #p"/workspace/" asdf:*central-registry*)' >> /root/.sbclrc
# -----------------------
# cl-jupyter # cl-jupyter
RUN pip3 install ipython
RUN pip3 install jupyter
RUN wget -nv https://github.com/fredokun/cl-jupyter/archive/master.zip \ WORKDIR /root
&& unzip master.zip \ RUN cd /root && git clone https://github.com/fredokun/cl-jupyter.git && cd cl-jupyter && python3 ./install-cl-jupyter.py && sbcl --load ./cl-jupyter.lisp
&& mv cl-jupyter-master /root \
&& python3 /root/cl-jupyter-master/install-cl-jupyter.py \
&& sbcl --load /root/cl-jupyter-master/cl-jupyter.lisp --non-interactive
RUN ln -s /root/cl-jupyter-master/src /root/quicklisp/local-projects/cl-jupyter EXPOSE 8888
CMD jupyter notebook --allow-root --no-browser --NotebookApp.token='' --ip '*' --port 8888
# Kenzo
RUN wget https://github.com/gheber/kenzo/archive/master.zip \
&& unzip master.zip -d /root/quicklisp/local-projects && rm master.zip
RUN mv /root/quicklisp/local-projects/kenzo-master /root/quicklisp/local-projects/kenzo
RUN echo '(ql:quickload :cl-jupyter)' >> /root/.sbclrc
RUN echo '(ql:quickload :kenzo)' >> /root/.sbclrc
RUN echo '(use-package :cat :cl-jupyter-user)' >> /root/.sbclrc
RUN echo '(cat:cat-init)' >> /root/.sbclrc
RUN sbcl --eval "(require 'asdf)"

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examples/00_Overview.ipynb
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examples/01_Chain_Complexes.ipynb
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examples/02_Objects_with_effective_homology.ipynb
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examples/04_Tensor_product_of_chain_complexes.ipynb
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{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -54,10 +86,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -65,7 +95,7 @@
"<TnPr A B>" "<TnPr A B>"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -76,10 +106,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -91,7 +119,6 @@
"1. GNRT1: A\n", "1. GNRT1: A\n",
"2. DEGR2: 2\n", "2. DEGR2: 2\n",
"3. GNRT2: B\n", "3. GNRT2: B\n",
"\n",
"> " "> "
] ]
}, },
@ -101,7 +128,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -112,10 +139,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -123,7 +148,7 @@
"T" "T"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -134,10 +159,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -145,7 +168,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -156,10 +179,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -167,7 +188,7 @@
"T" "T"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -178,10 +199,8 @@
}, },
{ {
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"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -200,7 +219,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -211,10 +230,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -222,7 +239,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -233,10 +250,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -255,7 +270,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -297,10 +312,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -316,7 +329,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -327,10 +340,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -338,7 +349,7 @@
"CDELTA" "CDELTA"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -369,10 +380,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -380,7 +389,7 @@
"[K1 Chain-Complex]" "[K1 Chain-Complex]"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -391,10 +400,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -402,7 +409,7 @@
"((0 1) (0 2) (1 2))" "((0 1) (0 2) (1 2))"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -413,10 +420,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -424,7 +429,7 @@
"[K3 Chain-Complex]" "[K3 Chain-Complex]"
] ]
}, },
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -442,10 +447,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 14, "execution_count": 15,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -453,7 +456,7 @@
"(<TnPr (0) (0)> <TnPr (0) (1)> <TnPr (0) (2)> <TnPr (1) (0)> <TnPr (1) (1)> <TnPr (1) (2)> <TnPr (2) (0)> <TnPr (2) (1)> <TnPr (2) (2)>)" "(<TnPr (0) (0)> <TnPr (0) (1)> <TnPr (0) (2)> <TnPr (1) (0)> <TnPr (1) (1)> <TnPr (1) (2)> <TnPr (2) (0)> <TnPr (2) (1)> <TnPr (2) (2)>)"
] ]
}, },
"execution_count": 14, "execution_count": 15,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -464,10 +467,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 15, "execution_count": 16,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -475,7 +476,7 @@
"(<TnPr (0) (0 1)> <TnPr (0) (0 2)> <TnPr (0) (1 2)> <TnPr (1) (0 1)> <TnPr (1) (0 2)> <TnPr (1) (1 2)> <TnPr (2) (0 1)> <TnPr (2) (0 2)> <TnPr (2) (1 2)> <TnPr (0 1) (0)> ...)" "(<TnPr (0) (0 1)> <TnPr (0) (0 2)> <TnPr (0) (1 2)> <TnPr (1) (0 1)> <TnPr (1) (0 2)> <TnPr (1) (1 2)> <TnPr (2) (0 1)> <TnPr (2) (0 2)> <TnPr (2) (1 2)> <TnPr (0 1) (0)> ...)"
] ]
}, },
"execution_count": 15, "execution_count": 16,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -486,10 +487,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 16, "execution_count": 17,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -497,7 +496,7 @@
"(<TnPr (0) (0 1 2)> <TnPr (1) (0 1 2)> <TnPr (2) (0 1 2)> <TnPr (0 1) (0 1)> <TnPr (0 1) (0 2)> <TnPr (0 1) (1 2)> <TnPr (0 2) (0 1)> <TnPr (0 2) (0 2)> <TnPr (0 2) (1 2)> <TnPr (1 2) (0 1)> ...)" "(<TnPr (0) (0 1 2)> <TnPr (1) (0 1 2)> <TnPr (2) (0 1 2)> <TnPr (0 1) (0 1)> <TnPr (0 1) (0 2)> <TnPr (0 1) (1 2)> <TnPr (0 2) (0 1)> <TnPr (0 2) (0 2)> <TnPr (0 2) (1 2)> <TnPr (1 2) (0 1)> ...)"
] ]
}, },
"execution_count": 16, "execution_count": 17,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -508,10 +507,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 17, "execution_count": 18,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -519,7 +516,7 @@
"(<TnPr (0 1) (0 1 2)> <TnPr (0 2) (0 1 2)> <TnPr (1 2) (0 1 2)> <TnPr (0 1 2) (0 1)> <TnPr (0 1 2) (0 2)> <TnPr (0 1 2) (1 2)>)" "(<TnPr (0 1) (0 1 2)> <TnPr (0 2) (0 1 2)> <TnPr (1 2) (0 1 2)> <TnPr (0 1 2) (0 1)> <TnPr (0 1 2) (0 2)> <TnPr (0 1 2) (1 2)>)"
] ]
}, },
"execution_count": 17, "execution_count": 18,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -530,10 +527,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 18, "execution_count": 19,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -541,7 +536,7 @@
"(<TnPr (0 1 2) (0 1 2)>)" "(<TnPr (0 1 2) (0 1 2)>)"
] ]
}, },
"execution_count": 18, "execution_count": 19,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -561,18 +556,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 19, "execution_count": 20,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"#<FUNCTION (LAMBDA (DGR GNR) :IN \"/root/cl-jupyter-master/cl-jupyter.lisp\") {1005B3B8EB}>" "#<FUNCTION (LAMBDA (DGR GNR) :IN \"/root/cl-jupyter/cl-jupyter.lisp\") {100222C5BB}>"
] ]
}, },
"execution_count": 19, "execution_count": 20,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -586,10 +579,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 20, "execution_count": 21,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -597,7 +588,7 @@
"[K5 Chain-Complex]" "[K5 Chain-Complex]"
] ]
}, },
"execution_count": 20, "execution_count": 21,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -612,10 +603,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 21, "execution_count": 22,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -623,7 +612,7 @@
"(30 31 32 33 34 35 36 37 38 39)" "(30 31 32 33 34 35 36 37 38 39)"
] ]
}, },
"execution_count": 21, "execution_count": 22,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -634,10 +623,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 22, "execution_count": 23,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -645,7 +632,7 @@
"[K7 Chain-Complex]" "[K7 Chain-Complex]"
] ]
}, },
"execution_count": 22, "execution_count": 23,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -656,10 +643,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 23, "execution_count": 24,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -672,7 +657,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 23, "execution_count": 24,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -683,10 +668,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 24, "execution_count": 25,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -700,7 +683,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 24, "execution_count": 25,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -711,10 +694,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 25, "execution_count": 26,
"metadata": { "metadata": {},
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},
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{ {
"data": { "data": {
@ -735,7 +716,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 25, "execution_count": 26,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -746,10 +727,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 26, "execution_count": 27,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -762,7 +741,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 26, "execution_count": 27,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -773,10 +752,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 27, "execution_count": 28,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -786,7 +763,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 27, "execution_count": 28,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -866,5 +843,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

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examples/05_Coalgebras_and_cobars.ipynb
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@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -173,10 +205,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -184,7 +214,7 @@
"[K1 Simplicial-Set]" "[K1 Simplicial-Set]"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -215,10 +245,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -226,7 +254,7 @@
":EQUAL" ":EQUAL"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -237,10 +265,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -250,7 +276,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -261,10 +287,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -278,7 +302,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -296,10 +320,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -307,7 +329,7 @@
"[K6 Chain-Complex]" "[K6 Chain-Complex]"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -318,10 +340,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -329,7 +349,7 @@
"<<AlLp>>" "<<AlLp>>"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -340,10 +360,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -351,7 +369,7 @@
"<<AlLp[2 (0 1 2 3)]>>" "<<AlLp[2 (0 1 2 3)]>>"
] ]
}, },
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -362,10 +380,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -373,7 +389,7 @@
"<<AlLp[2 (1 2 3 4)]>>" "<<AlLp[2 (1 2 3 4)]>>"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -384,10 +400,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -395,7 +409,7 @@
":LESS" ":LESS"
] ]
}, },
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -406,10 +420,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -423,7 +435,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -434,10 +446,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -447,7 +457,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -458,10 +468,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -469,7 +477,7 @@
"<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>" "<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -480,10 +488,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -503,7 +509,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -514,10 +520,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 14, "execution_count": 15,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -527,7 +531,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 14, "execution_count": 15,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -538,10 +542,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 15, "execution_count": 16,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -549,7 +551,7 @@
"<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>" "<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>"
] ]
}, },
"execution_count": 15, "execution_count": 16,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -560,10 +562,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 16, "execution_count": 17,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -584,7 +584,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 16, "execution_count": 17,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -595,10 +595,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 17, "execution_count": 18,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -608,7 +606,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 17, "execution_count": 18,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -660,10 +658,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 18, "execution_count": 19,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -675,7 +671,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 18, "execution_count": 19,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -686,10 +682,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 19, "execution_count": 20,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -701,7 +695,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 19, "execution_count": 20,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -712,10 +706,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 20, "execution_count": 21,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -728,7 +720,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 20, "execution_count": 21,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -739,10 +731,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 21, "execution_count": 22,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -750,7 +740,7 @@
"[K8 Morphism (degree -1): K6 -> K6]" "[K8 Morphism (degree -1): K6 -> K6]"
] ]
}, },
"execution_count": 21, "execution_count": 22,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -761,10 +751,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 22, "execution_count": 23,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -772,7 +760,7 @@
"<<AlLp[2 (0 1 2 3)]>>" "<<AlLp[2 (0 1 2 3)]>>"
] ]
}, },
"execution_count": 22, "execution_count": 23,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -783,10 +771,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 23, "execution_count": 24,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -796,7 +782,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 23, "execution_count": 24,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -807,10 +793,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 24, "execution_count": 25,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -818,7 +802,7 @@
"<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>" "<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>"
] ]
}, },
"execution_count": 24, "execution_count": 25,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -829,10 +813,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 25, "execution_count": 26,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -844,7 +826,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 25, "execution_count": 26,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -855,10 +837,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 26, "execution_count": 27,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -868,7 +848,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 26, "execution_count": 27,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -879,10 +859,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 27, "execution_count": 28,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -890,7 +868,7 @@
"<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>" "<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>"
] ]
}, },
"execution_count": 27, "execution_count": 28,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -901,10 +879,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 28, "execution_count": 29,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -919,7 +895,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 28, "execution_count": 29,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -930,10 +906,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 29, "execution_count": 30,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -943,7 +917,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 29, "execution_count": 30,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -988,10 +962,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 30, "execution_count": 31,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -999,7 +971,7 @@
"[K9 Chain-Complex]" "[K9 Chain-Complex]"
] ]
}, },
"execution_count": 30, "execution_count": 31,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1010,10 +982,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 31, "execution_count": 32,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1021,7 +991,7 @@
"<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>" "<<AlLp[3 (0 1 2 3 4)][3 (1 3 5 7 9)]>>"
] ]
}, },
"execution_count": 31, "execution_count": 32,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1032,10 +1002,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 32, "execution_count": 33,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1056,7 +1024,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 32, "execution_count": 33,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1067,10 +1035,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 33, "execution_count": 34,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1080,7 +1046,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 33, "execution_count": 34,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1091,10 +1057,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 34, "execution_count": 35,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1102,7 +1066,7 @@
"<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>" "<<AlLp[3 (0 1 4 5 6)][4 (2 3 4 5 6 8)][4 (0 4 5 6 7 8)]>>"
] ]
}, },
"execution_count": 34, "execution_count": 35,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1113,10 +1077,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 35, "execution_count": 36,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1137,7 +1099,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 35, "execution_count": 36,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1148,10 +1110,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 36, "execution_count": 37,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1161,7 +1121,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 36, "execution_count": 37,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1213,5 +1173,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

287
examples/06_Algebras_and_bars.ipynb
View File

@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -88,10 +120,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -99,7 +129,7 @@
"TRIVIAL-ALGEBRA" "TRIVIAL-ALGEBRA"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -129,10 +159,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -140,7 +168,7 @@
"[K1 Simplicial-Set]" "[K1 Simplicial-Set]"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -164,10 +192,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -175,7 +201,7 @@
"[K1 Algebra]" "[K1 Algebra]"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -193,10 +219,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -204,7 +228,7 @@
"[K1 Algebra]" "[K1 Algebra]"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -215,18 +239,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"\n", "\n",
"The object is a STANDARD-OBJECT of type CAT::ALGEBRA.\n", "The object is a STANDARD-OBJECT of type ALGEBRA.\n",
"0. CMPR: #<FUNCTION (LAMBDA (GSM1 GSM2) :IN \"/root/cl-jupyter-master/cl-jupyter.lisp\") {100537E00B}>\n", "0. CMPR: #<FUNCTION (LAMBDA (GSM1 GSM2) :IN \"/root/cl-jupyter/cl-jupyter.lisp\") {1001AEC60B}>\n",
"1. BASIS: :LOCALLY-EFFECTIVE\n", "1. BASIS: :LOCALLY-EFFECTIVE\n",
"2. BSGN: (0)\n", "2. BSGN: (0)\n",
"3. DFFR: [K2 Morphism (degree -1): K1 -> K1]\n", "3. DFFR: [K2 Morphism (degree -1): K1 -> K1]\n",
@ -235,7 +257,6 @@
"6. IDNM: 1\n", "6. IDNM: 1\n",
"7. ORGN: (SIMPLE-DELTAB2)\n", "7. ORGN: (SIMPLE-DELTAB2)\n",
"8. APRD: [K6 Morphism (degree 0): K3 -> K1]\n", "8. APRD: [K6 Morphism (degree 0): K3 -> K1]\n",
"\n",
"> " "> "
] ]
}, },
@ -245,7 +266,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -263,37 +284,10 @@
"Let us test now the product in this trivial algebra:" "Let us test now the product in this trivial algebra:"
] ]
}, },
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"----------------------------------------------------------------------{CMBN 3}\n",
"<1 * (1 2 3 4)>\n",
"------------------------------------------------------------------------------\n"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(aprd smp-deltab2 3 (tnpr 0 '(0) 3 '(1 2 3 4)))"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -310,15 +304,36 @@
} }
], ],
"source": [ "source": [
"(aprd smp-deltab2 3 (tnpr 3 '(1 2 3 4) 0 '(0)))" "(aprd smp-deltab2 3 (tnpr 0 '(0) 3 '(1 2 3 4)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false "outputs": [
}, {
"data": {
"text/plain": [
"\n",
"----------------------------------------------------------------------{CMBN 3}\n",
"<1 * (1 2 3 4)>\n",
"------------------------------------------------------------------------------\n"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(aprd smp-deltab2 3 (tnpr 3 '(1 2 3 4) 0 '(0)))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -328,7 +343,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -388,34 +403,10 @@
"from elements of an algebra (or a chain complex)." "from elements of an algebra (or a chain complex)."
] ]
}, },
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<<Abar[2 A][3 B][5 C]>>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(abar 2 'a 3 'b 5 'c)"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -429,15 +420,33 @@
} }
], ],
"source": [ "source": [
"(abar '(2 a 3 b 5 c))" "(abar 2 'a 3 'b 5 'c)"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false "outputs": [
}, {
"data": {
"text/plain": [
"<<Abar[2 A][3 B][5 C]>>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(abar '(2 a 3 b 5 c))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -445,7 +454,7 @@
"<<Abar>>" "<<Abar>>"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -517,18 +526,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"#<CLOSURE (FLET CAT::RSLT :IN BAR-CMPR) {1005C307DB}>" "#<CLOSURE (FLET RSLT :IN BAR-CMPR) {10022131CB}>"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -539,10 +546,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -550,7 +555,7 @@
":EQUAL" ":EQUAL"
] ]
}, },
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -561,10 +566,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 14, "execution_count": 15,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -572,7 +575,7 @@
":LESS" ":LESS"
] ]
}, },
"execution_count": 14, "execution_count": 15,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -583,10 +586,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 15, "execution_count": 16,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -594,7 +595,7 @@
":EQUAL" ":EQUAL"
] ]
}, },
"execution_count": 15, "execution_count": 16,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -612,18 +613,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 16, "execution_count": 17,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"#<FUNCTION (LAMBDA (DEGR) :IN \"/root/cl-jupyter-master/cl-jupyter.lisp\") {1005DEE0FB}>" "#<FUNCTION (LAMBDA (DEGR) :IN \"/root/cl-jupyter/cl-jupyter.lisp\") {100238964B}>"
] ]
}, },
"execution_count": 16, "execution_count": 17,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -635,10 +634,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 17, "execution_count": 18,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -646,7 +643,7 @@
"(A5)" "(A5)"
] ]
}, },
"execution_count": 17, "execution_count": 18,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -664,18 +661,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 18, "execution_count": 19,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"#<CLOSURE (FLET CAT::RSLT :IN BAR-BASIS) {1005EAF78B}>" "#<CLOSURE (FLET RSLT :IN BAR-BASIS) {1002416CEB}>"
] ]
}, },
"execution_count": 18, "execution_count": 19,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -686,10 +681,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 19, "execution_count": 20,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -711,7 +704,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 19, "execution_count": 20,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -730,10 +723,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 20, "execution_count": 21,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -741,7 +732,7 @@
"[K7 Chain-Complex]" "[K7 Chain-Complex]"
] ]
}, },
"execution_count": 20, "execution_count": 21,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -752,10 +743,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 21, "execution_count": 22,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -774,7 +763,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 21, "execution_count": 22,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -785,10 +774,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 22, "execution_count": 23,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -798,7 +785,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 22, "execution_count": 23,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -906,5 +893,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

2136
examples/07_Simplicial_Sets.ipynb
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122
examples/08_Simplicial_morphisms.ipynb
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@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -54,10 +86,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -65,7 +95,7 @@
"[K1 Simplicial-Set]" "[K1 Simplicial-Set]"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -76,10 +106,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -87,7 +115,7 @@
"[K6 Simplicial-Morphism K1 -> K1]" "[K6 Simplicial-Morphism K1 -> K1]"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -103,10 +131,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -114,7 +140,7 @@
"<AbSm - 7>" "<AbSm - 7>"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -125,10 +151,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -136,7 +160,7 @@
"<AbSm 0 1>" "<AbSm 0 1>"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -147,10 +171,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -161,7 +183,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -179,10 +201,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -190,7 +210,7 @@
"[K7 Simplicial-Morphism K1 -> K1]" "[K7 Simplicial-Morphism K1 -> K1]"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -206,10 +226,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -217,7 +235,7 @@
"<AbSm - 1>" "<AbSm - 1>"
] ]
}, },
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -228,10 +246,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -239,7 +255,7 @@
"<AbSm 1-0 1>" "<AbSm 1-0 1>"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -250,10 +266,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -261,7 +275,7 @@
"<AbSm 0 1>" "<AbSm 0 1>"
] ]
}, },
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -272,10 +286,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -283,7 +295,7 @@
"<AbSm 2-1-0 1>" "<AbSm 2-1-0 1>"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -294,10 +306,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -307,7 +317,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -343,5 +353,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

685
examples/09_The_Eilenberg-Zilber_module.ipynb
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154
examples/10_Programming_the_Kan_theory.ipynb
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@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -71,10 +103,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -82,7 +112,7 @@
"DKFLL" "DKFLL"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -111,10 +141,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -122,7 +150,7 @@
"[K1 Simplicial-Set]" "[K1 Simplicial-Set]"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -133,10 +161,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -144,7 +170,7 @@
"[K1 Kan-Simplicial-Set]" "[K1 Kan-Simplicial-Set]"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -155,10 +181,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -166,7 +190,7 @@
"<AbSm 0 1>" "<AbSm 0 1>"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -175,34 +199,10 @@
"(kfll d 0 1 (list (absm 0 1)))" "(kfll d 0 1 (list (absm 0 1)))"
] ]
}, },
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<AbSm - 7>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(kfll d 0 2 (list (absm 0 5) (absm 0 3)))"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -216,15 +216,13 @@
} }
], ],
"source": [ "source": [
"(kfll d 1 2 (list (absm 0 6) (absm 0 3)))" "(kfll d 0 2 (list (absm 0 5) (absm 0 3)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -238,20 +236,18 @@
} }
], ],
"source": [ "source": [
"(kfll d 2 2 (list (absm 0 6) (absm 0 5)))" "(kfll d 1 2 (list (absm 0 6) (absm 0 3)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"<AbSm 1 3>" "<AbSm - 7>"
] ]
}, },
"execution_count": 8, "execution_count": 8,
@ -260,15 +256,13 @@
} }
], ],
"source": [ "source": [
"(kfll d 0 2 (list (absm 0 3) (absm 0 3)))" "(kfll d 2 2 (list (absm 0 6) (absm 0 5)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -282,20 +276,18 @@
} }
], ],
"source": [ "source": [
"(kfll d 1 2 (list (absm 1 2) (absm 0 3)))" "(kfll d 0 2 (list (absm 0 3) (absm 0 3)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"T" "<AbSm 1 3>"
] ]
}, },
"execution_count": 10, "execution_count": 10,
@ -304,15 +296,13 @@
} }
], ],
"source": [ "source": [
"(check-hat d 1 2 (list (absm 1 2) (absm 0 3)))" "(kfll d 1 2 (list (absm 1 2) (absm 0 3)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -326,15 +316,33 @@
} }
], ],
"source": [ "source": [
"(check-hat d 0 1 (list (absm 0 1)))" "(check-hat d 1 2 (list (absm 1 2) (absm 0 3)))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false "outputs": [
}, {
"data": {
"text/plain": [
"T"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(check-hat d 0 1 (list (absm 0 1)))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -350,7 +358,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -388,5 +396,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

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examples/11_Simplicial_Groups.ipynb
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examples/13_Loop_Spaces.ipynb
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@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -145,10 +177,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -156,7 +186,7 @@
"<<Loop>>" "<<Loop>>"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -167,10 +197,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -178,7 +206,7 @@
"<<Loop[A\\2][4-2 B\\-3][3-2 C]>>" "<<Loop[A\\2][4-2 B\\-3][3-2 C]>>"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -189,10 +217,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -200,7 +226,7 @@
"<<Loop[A\\2][4-2 B\\-3][3-2 C][A\\3]>>" "<<Loop[A\\2][4-2 B\\-3][3-2 C][A\\3]>>"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -211,10 +237,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -222,7 +246,7 @@
"<<Loop[2-1-0 P\\2][5-4-3-2-1 Q\\5]>>" "<<Loop[2-1-0 P\\2][5-4-3-2-1 Q\\5]>>"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -242,10 +266,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -253,7 +275,7 @@
"[K1 Simplicial-Set]" "[K1 Simplicial-Set]"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -264,10 +286,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -277,7 +297,7 @@
"\n", "\n",
"Dimension = 0:\n", "Dimension = 0:\n",
"\n", "\n",
" Vertices : (*)\n", " Vertices : (*)\n",
"\n", "\n",
"Dimension = 1:\n", "Dimension = 1:\n",
"\n", "\n",
@ -285,15 +305,15 @@
"\n", "\n",
"Dimension = 3:\n", "Dimension = 3:\n",
"\n", "\n",
" Simplex : M3\n", " Simplex : M3\n",
"\n", "\n",
" Faces : (<AbSm 1-0 *> <AbSm 1-0 *> <AbSm 1-0 *> <AbSm 1-0 *>)\n", " Faces : (<AbSm 1-0 *> <AbSm 1-0 *> <AbSm 1-0 *> <AbSm 1-0 *>)\n",
"\n", "\n",
"Dimension = 4:\n", "Dimension = 4:\n",
"\n", "\n",
" Simplex : N4\n", " Simplex : N4\n",
"\n", "\n",
" Faces : (<AbSm - M3> <AbSm 2-1-0 *> <AbSm - M3> <AbSm 2-1-0 *> <AbSm 2-1-0 *>)" " Faces : (<AbSm - M3> <AbSm 2-1-0 *> <AbSm - M3> <AbSm 2-1-0 *> <AbSm 2-1-0 *>)"
] ]
}, },
{ {
@ -302,7 +322,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -320,10 +340,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -331,7 +349,7 @@
"[K6 Simplicial-Group]" "[K6 Simplicial-Group]"
] ]
}, },
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -342,10 +360,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -353,7 +369,7 @@
"<AbSm 2-1-0 <<Loop>>>" "<AbSm 2-1-0 <<Loop>>>"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -364,10 +380,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -375,7 +389,7 @@
"<AbSm - <<Loop[M3\\2]>>>" "<AbSm - <<Loop[M3\\2]>>>"
] ]
}, },
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -386,10 +400,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -397,7 +409,7 @@
"<AbSm 1-0 <<Loop>>>" "<AbSm 1-0 <<Loop>>>"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -408,10 +420,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -419,7 +429,7 @@
"<AbSm - <<Loop[N4\\2]>>>" "<AbSm - <<Loop[N4\\2]>>>"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -430,10 +440,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -441,7 +449,7 @@
"<AbSm 0 <<Loop>>>" "<AbSm 0 <<Loop>>>"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -459,10 +467,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -471,7 +477,7 @@
"\n", "\n",
"The object is a STANDARD-OBJECT of type SIMPLICIAL-SET.\n", "The object is a STANDARD-OBJECT of type SIMPLICIAL-SET.\n",
"0. CMPR: #<FUNCTION S-CMPR>\n", "0. CMPR: #<FUNCTION S-CMPR>\n",
"1. BASIS: #<CLOSURE (FLET CAT::RSLT :IN CAT::FINITE-SS-BASIS) {10057E9E6B}>\n", "1. BASIS: #<CLOSURE (FLET RSLT :IN FINITE-SS-BASIS) {1001EE2CFB}>\n",
"2. BSGN: *\n", "2. BSGN: *\n",
"3. DFFR: [K19 Morphism (degree -1): K18 -> K18]\n", "3. DFFR: [K19 Morphism (degree -1): K18 -> K18]\n",
"4. GRMD: [K18 Simplicial-Set]\n", "4. GRMD: [K18 Simplicial-Set]\n",
@ -479,8 +485,7 @@
"6. IDNM: 18\n", "6. IDNM: 18\n",
"7. ORGN: (BUILD-FINITE-SS (* 2 S2 (* * *) 3 S3 (S2 S2 S2 S2)))\n", "7. ORGN: (BUILD-FINITE-SS (* 2 S2 (* * *) 3 S3 (S2 S2 S2 S2)))\n",
"8. CPRD: [K22 Morphism (degree 0): K18 -> K20]\n", "8. CPRD: [K22 Morphism (degree 0): K18 -> K20]\n",
"9. FACE: #<CLOSURE (FLET CAT::RSLT :IN CAT::FINITE-SS-FACE) {10057E9E8B}>\n", "9. FACE: #<CLOSURE (FLET RSLT :IN FINITE-SS-FACE) {1001EE2D1B}>\n",
"\n",
"> \n", "> \n",
"Checking the 0-simplices...\n", "Checking the 0-simplices...\n",
"Checking the 1-simplices...\n", "Checking the 1-simplices...\n",
@ -494,7 +499,7 @@
"[K18 Simplicial-Set]" "[K18 Simplicial-Set]"
] ]
}, },
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -507,10 +512,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 14, "execution_count": 15,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -518,7 +521,7 @@
"[K23 Simplicial-Group]" "[K23 Simplicial-Group]"
] ]
}, },
"execution_count": 14, "execution_count": 15,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -529,10 +532,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 15, "execution_count": 16,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -540,7 +541,7 @@
"<AbSm - <<Loop>>>" "<AbSm - <<Loop>>>"
] ]
}, },
"execution_count": 15, "execution_count": 16,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -549,34 +550,10 @@
"(face o-ss2 0 1 (loop3 0 's2 1))" "(face o-ss2 0 1 (loop3 0 's2 1))"
] ]
}, },
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<AbSm - <<Loop[S2\\2]>>>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(face o-ss2 0 2 (loop3 0 's3 2))"
]
},
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 17, "execution_count": 17,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -590,15 +567,13 @@
} }
], ],
"source": [ "source": [
"(face o-ss2 1 2 (loop3 0 's3 2))" "(face o-ss2 0 2 (loop3 0 's3 2))"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 18, "execution_count": 18,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -618,9 +593,27 @@
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 19, "execution_count": 19,
"metadata": { "metadata": {},
"collapsed": false "outputs": [
}, {
"data": {
"text/plain": [
"<AbSm - <<Loop[S2\\2]>>>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(face o-ss2 1 2 (loop3 0 's3 2))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -628,7 +621,7 @@
"[K40 Simplicial-Group]" "[K40 Simplicial-Group]"
] ]
}, },
"execution_count": 19, "execution_count": 20,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -639,10 +632,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 20, "execution_count": 21,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -650,7 +641,7 @@
"<AbSm 1-0 <<Loop>>>" "<AbSm 1-0 <<Loop>>>"
] ]
}, },
"execution_count": 20, "execution_count": 21,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -661,10 +652,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 21, "execution_count": 22,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -672,7 +661,7 @@
"<AbSm 0 <<Loop[7\\3]>>>" "<AbSm 0 <<Loop[7\\3]>>>"
] ]
}, },
"execution_count": 21, "execution_count": 22,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -683,10 +672,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 22, "execution_count": 23,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -694,7 +681,7 @@
"<AbSm - <<Loop[1 7\\3][0 7\\3][1-0 3\\-1][1-0 5][1-0 3\\-1][1-0 5][1-0 3\\-1][1-0 5]>>>" "<AbSm - <<Loop[1 7\\3][0 7\\3][1-0 3\\-1][1-0 5][1-0 3\\-1][1-0 5][1-0 3\\-1][1-0 5]>>>"
] ]
}, },
"execution_count": 22, "execution_count": 23,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -705,10 +692,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 23, "execution_count": 24,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -716,7 +701,7 @@
"<AbSm - <<Loop[7\\3][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5]>>>" "<AbSm - <<Loop[7\\3][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5][0 3\\-1][0 5]>>>"
] ]
}, },
"execution_count": 23, "execution_count": 24,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -734,10 +719,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 24, "execution_count": 25,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -747,7 +730,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 24, "execution_count": 25,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -767,10 +750,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 25, "execution_count": 26,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -778,7 +759,7 @@
"[K52 Simplicial-Set]" "[K52 Simplicial-Set]"
] ]
}, },
"execution_count": 25, "execution_count": 26,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -789,10 +770,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 26, "execution_count": 27,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -811,7 +790,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 26, "execution_count": 27,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -822,10 +801,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 27, "execution_count": 28,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -833,7 +810,7 @@
"[K57 Simplicial-Group]" "[K57 Simplicial-Group]"
] ]
}, },
"execution_count": 27, "execution_count": 28,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -844,10 +821,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 28, "execution_count": 29,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -860,7 +835,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 28, "execution_count": 29,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -871,10 +846,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 29, "execution_count": 30,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -882,7 +855,7 @@
"[K74 Chain-Complex]" "[K74 Chain-Complex]"
] ]
}, },
"execution_count": 29, "execution_count": 30,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -893,10 +866,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 30, "execution_count": 31,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -910,7 +881,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 30, "execution_count": 31,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -944,5 +915,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

954
examples/14_Disk_pasting_and_suspension.ipynb
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1268
examples/15_Loop_spaces_fibrations.ipynb
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632
examples/16_Eilenberg-Moore_spectral_sequence_I.ipynb
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316
examples/17_Classifying_Spaces.ipynb
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@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -117,10 +149,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -128,7 +158,7 @@
"<<GBar<0 A><1 B>>>" "<<GBar<0 A><1 B>>>"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -139,10 +169,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -150,7 +178,7 @@
"<<GBar<- 3><1-0 0><0 0><- 0>>>" "<<GBar<- 3><1-0 0><0 0><- 0>>>"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -161,10 +189,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -172,7 +198,7 @@
"<<GBar<- <<Loop[1-0 M2][2 N3]>>><- <<Loop[N3]>>><- <<Loop[M2]>>><- <<Loop>>>>>" "<<GBar<- <<Loop[1-0 M2][2 N3]>>><- <<Loop[N3]>>><- <<Loop[M2]>>><- <<Loop>>>>>"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -193,10 +219,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -204,7 +228,7 @@
"[K6 Simplicial-Group]" "[K6 Simplicial-Group]"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -215,18 +239,16 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
"text/plain": [ "text/plain": [
"#<CLOSURE (FLET CAT::RSLT :IN CLASSIFYING-SPACE-FACE) {1002FB5DBB}>" "#<CLOSURE (FLET RSLT :IN CLASSIFYING-SPACE-FACE) {1001CE47FB}>"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -237,10 +259,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -260,7 +280,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -278,10 +298,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 7, "execution_count": 8,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -289,7 +307,7 @@
"[K30 Abelian-Simplicial-Group]" "[K30 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 7, "execution_count": 8,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -300,10 +318,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 8, "execution_count": 9,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -311,7 +327,7 @@
"(CLASSIFYING-SPACE [K18 Abelian-Simplicial-Group])" "(CLASSIFYING-SPACE [K18 Abelian-Simplicial-Group])"
] ]
}, },
"execution_count": 8, "execution_count": 9,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -322,10 +338,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 9, "execution_count": 10,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -333,7 +347,7 @@
"<<GBar<- 3><- 2><- 1><- 0>>>" "<<GBar<- 3><- 2><- 1><- 0>>>"
] ]
}, },
"execution_count": 9, "execution_count": 10,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -344,10 +358,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 10, "execution_count": 11,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -358,7 +370,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 10, "execution_count": 11,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -369,10 +381,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 11, "execution_count": 12,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -382,7 +392,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 11, "execution_count": 12,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -393,10 +403,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 12, "execution_count": 13,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -409,7 +417,7 @@
"------------------------------------------------------------------------------\n" "------------------------------------------------------------------------------\n"
] ]
}, },
"execution_count": 12, "execution_count": 13,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -420,10 +428,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 13, "execution_count": 14,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -443,7 +449,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 13, "execution_count": 14,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -462,10 +468,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 14, "execution_count": 15,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -473,7 +477,7 @@
"[K54 Abelian-Simplicial-Group]" "[K54 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 14, "execution_count": 15,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -484,10 +488,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 15, "execution_count": 16,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -495,7 +497,7 @@
"<AbSm 2-1-0 <<GBar>>>" "<AbSm 2-1-0 <<GBar>>>"
] ]
}, },
"execution_count": 15, "execution_count": 16,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -507,10 +509,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 16, "execution_count": 17,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -518,7 +518,7 @@
"<AbSm - <<GBar<- (1 2)><0 NIL><- NIL>>>>" "<AbSm - <<GBar<- (1 2)><0 NIL><- NIL>>>>"
] ]
}, },
"execution_count": 16, "execution_count": 17,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -530,10 +530,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 17, "execution_count": 18,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -541,7 +539,7 @@
"<AbSm - <<GBar<- (1 -1)><- (3)><- NIL>>>>" "<AbSm - <<GBar<- (1 -1)><- (3)><- NIL>>>>"
] ]
}, },
"execution_count": 17, "execution_count": 18,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -553,10 +551,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 18, "execution_count": 19,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -564,7 +560,7 @@
"<AbSm - <<GBar<- (-1 -2)><0 NIL><- NIL>>>>" "<AbSm - <<GBar<- (-1 -2)><0 NIL><- NIL>>>>"
] ]
}, },
"execution_count": 18, "execution_count": 19,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -575,10 +571,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 19, "execution_count": 20,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -586,7 +580,7 @@
"<AbSm - <<GBar<- (1 2)><0 NIL><- NIL>>>>" "<AbSm - <<GBar<- (1 2)><0 NIL><- NIL>>>>"
] ]
}, },
"execution_count": 19, "execution_count": 20,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -604,10 +598,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 20, "execution_count": 21,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -623,7 +615,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 20, "execution_count": 21,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -634,10 +626,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 21, "execution_count": 22,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -645,7 +635,7 @@
"[K25 Abelian-Simplicial-Group]" "[K25 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 21, "execution_count": 22,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -656,10 +646,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 22, "execution_count": 23,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -670,7 +658,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 0) :\n", "Computing the boundary of the generator 1/1 (dimension 0) :\n",
"<<Abar>> \n", "<<Abar>> \n",
"End of computing.\n", "End of computing.\n",
@ -690,7 +678,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 1.\n", "Computing boundary-matrix in dimension 1.\n",
@ -709,7 +697,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 2.\n", "Computing boundary-matrix in dimension 2.\n",
@ -720,7 +708,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 3) :\n", "Computing the boundary of the generator 1/1 (dimension 3) :\n",
"<<Abar[3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -734,14 +722,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 3.\n", "Computing boundary-matrix in dimension 3.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 3) :\n", "Computing the boundary of the generator 1/1 (dimension 3) :\n",
"<<Abar[3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -761,7 +749,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 4.\n", "Computing boundary-matrix in dimension 4.\n",
@ -772,7 +760,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 5) :\n", "Computing the boundary of the generator 1/1 (dimension 5) :\n",
"<<Abar[5 <<Abar[2 S1][2 S1]>>]>> \n", "<<Abar[5 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -786,14 +774,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 5.\n", "Computing boundary-matrix in dimension 5.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 5) :\n", "Computing the boundary of the generator 1/1 (dimension 5) :\n",
"<<Abar[5 <<Abar[2 S1][2 S1]>>]>> \n", "<<Abar[5 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -803,7 +791,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -819,14 +807,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 6.\n", "Computing boundary-matrix in dimension 6.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -836,7 +824,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 7) :\n", "Computing the boundary of the generator 1/1 (dimension 7) :\n",
"<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -850,14 +838,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 7.\n", "Computing boundary-matrix in dimension 7.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 7) :\n", "Computing the boundary of the generator 1/1 (dimension 7) :\n",
"<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -867,13 +855,13 @@
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/2 (dimension 8) :\n", "Computing the boundary of the generator 1/2 (dimension 8) :\n",
"<<Abar[3 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/2 (dimension 8) :\n", "Computing the boundary of the generator 2/2 (dimension 8) :\n",
"<<Abar[5 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[5 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -889,20 +877,20 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 8.\n", "Computing boundary-matrix in dimension 8.\n",
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/2 (dimension 8) :\n", "Computing the boundary of the generator 1/2 (dimension 8) :\n",
"<<Abar[3 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/2 (dimension 8) :\n", "Computing the boundary of the generator 2/2 (dimension 8) :\n",
"<<Abar[5 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[5 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -912,13 +900,13 @@
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/2 (dimension 9) :\n", "Computing the boundary of the generator 1/2 (dimension 9) :\n",
"<<Abar[9 <<Abar[2 S1][2 S1][2 S1][2 S1]>>]>> \n", "<<Abar[9 <<Abar[2 S1][2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/2 (dimension 9) :\n", "Computing the boundary of the generator 2/2 (dimension 9) :\n",
"<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -934,20 +922,20 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 9.\n", "Computing boundary-matrix in dimension 9.\n",
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/2 (dimension 9) :\n", "Computing the boundary of the generator 1/2 (dimension 9) :\n",
"<<Abar[9 <<Abar[2 S1][2 S1][2 S1][2 S1]>>]>> \n", "<<Abar[9 <<Abar[2 S1][2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/2 (dimension 9) :\n", "Computing the boundary of the generator 2/2 (dimension 9) :\n",
"<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -957,19 +945,19 @@
"Rank of the source-module : 3.\n", "Rank of the source-module : 3.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/3 (dimension 10) :\n", "Computing the boundary of the generator 1/3 (dimension 10) :\n",
"<<Abar[3 <<Abar[2 S1]>>][7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<Abar[3 <<Abar[2 S1]>>][7 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/3 (dimension 10) :\n", "Computing the boundary of the generator 2/3 (dimension 10) :\n",
"<<Abar[5 <<Abar[2 S1][2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n", "<<Abar[5 <<Abar[2 S1][2 S1]>>][5 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 3/3 (dimension 10) :\n", "Computing the boundary of the generator 3/3 (dimension 10) :\n",
"<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n", "<<Abar[7 <<Abar[2 S1][2 S1][2 S1]>>][3 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -985,7 +973,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n" "\n"
] ]
}, },
@ -995,7 +983,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 22, "execution_count": 23,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1006,10 +994,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 23, "execution_count": 24,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -1017,7 +1003,7 @@
"[K342 Abelian-Simplicial-Group]" "[K342 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 23, "execution_count": 24,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1028,10 +1014,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 24, "execution_count": 25,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -1042,7 +1026,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 0) :\n", "Computing the boundary of the generator 1/1 (dimension 0) :\n",
"<<Abar>> \n", "<<Abar>> \n",
"End of computing.\n", "End of computing.\n",
@ -1062,7 +1046,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 1.\n", "Computing boundary-matrix in dimension 1.\n",
@ -1081,7 +1065,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 2.\n", "Computing boundary-matrix in dimension 2.\n",
@ -1100,7 +1084,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 3.\n", "Computing boundary-matrix in dimension 3.\n",
@ -1119,7 +1103,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 4.\n", "Computing boundary-matrix in dimension 4.\n",
@ -1130,7 +1114,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 5) :\n", "Computing the boundary of the generator 1/1 (dimension 5) :\n",
"<<Abar[5 <<Abar[4 <<Abar[3 <<Abar[2 1]>>]>>]>>]>> \n", "<<Abar[5 <<Abar[4 <<Abar[3 <<Abar[2 1]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1144,14 +1128,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 5.\n", "Computing boundary-matrix in dimension 5.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 5) :\n", "Computing the boundary of the generator 1/1 (dimension 5) :\n",
"<<Abar[5 <<Abar[4 <<Abar[3 <<Abar[2 1]>>]>>]>>]>> \n", "<<Abar[5 <<Abar[4 <<Abar[3 <<Abar[2 1]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1161,7 +1145,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[6 <<Abar[5 <<Abar[4 <<Abar[3 2]>>]>>]>>]>> \n", "<<Abar[6 <<Abar[5 <<Abar[4 <<Abar[3 2]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1177,14 +1161,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 6.\n", "Computing boundary-matrix in dimension 6.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[6 <<Abar[5 <<Abar[4 <<Abar[3 2]>>]>>]>>]>> \n", "<<Abar[6 <<Abar[5 <<Abar[4 <<Abar[3 2]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1194,13 +1178,13 @@
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 1/2 (dimension 7) :\n", "Computing the boundary of the generator 1/2 (dimension 7) :\n",
"<<Abar[7 <<Abar[6 <<Abar[5 <<Abar[4 3]>>]>>]>>]>> \n", "<<Abar[7 <<Abar[6 <<Abar[5 <<Abar[4 3]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"Computing the boundary of the generator 2/2 (dimension 7) :\n", "Computing the boundary of the generator 2/2 (dimension 7) :\n",
"<<Abar[7 <<Abar[6 <<Abar[5 <<Abar[2 1][2 1]>>]>>]>>]>> \n", "<<Abar[7 <<Abar[6 <<Abar[5 <<Abar[2 1][2 1]>>]>>]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1214,7 +1198,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-09-15, 15h 27m 10s.\n", ";; Clock -> 2017-10-08, 12h 28m 49s.\n",
"\n" "\n"
] ]
}, },
@ -1224,7 +1208,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 24, "execution_count": 25,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1258,5 +1242,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

392
examples/18_Serre_spectral_sequence.ipynb
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690
examples/19_Simplicial_groups_fibration.ipynb
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230
examples/20_Eilenberg-Moore_spectral_sequence_II.ipynb
View File

@ -1,5 +1,37 @@
{ {
"cells": [ "cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"To load \"kenzo\":\n",
" Load 1 ASDF system:\n",
" kenzo\n",
"; Loading \"kenzo\"\n",
"\n"
]
},
{
"data": {
"text/plain": [
"#<PACKAGE \"CAT\">"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ql:quickload \"kenzo\")\n",
"(in-package :cat)"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"metadata": {}, "metadata": {},
@ -162,10 +194,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 1, "execution_count": 2,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -173,7 +203,7 @@
"[K1 Abelian-Simplicial-Group]" "[K1 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 1, "execution_count": 2,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -184,10 +214,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -198,7 +226,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 0) :\n", "Computing the boundary of the generator 1/1 (dimension 0) :\n",
"* \n", "* \n",
"End of computing.\n", "End of computing.\n",
@ -208,9 +236,9 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 1) :\n", "Computing the boundary of the generator 1/1 (dimension 1) :\n",
"CAT::S1 \n", "S1 \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
@ -224,16 +252,16 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 1.\n", "Computing boundary-matrix in dimension 1.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 1) :\n", "Computing the boundary of the generator 1/1 (dimension 1) :\n",
"CAT::S1 \n", "S1 \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
@ -251,7 +279,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 2.\n", "Computing boundary-matrix in dimension 2.\n",
@ -270,7 +298,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 3.\n", "Computing boundary-matrix in dimension 3.\n",
@ -289,7 +317,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 4.\n", "Computing boundary-matrix in dimension 4.\n",
@ -308,7 +336,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 5.\n", "Computing boundary-matrix in dimension 5.\n",
@ -327,7 +355,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 6.\n", "Computing boundary-matrix in dimension 6.\n",
@ -346,7 +374,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 7.\n", "Computing boundary-matrix in dimension 7.\n",
@ -365,7 +393,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 8.\n", "Computing boundary-matrix in dimension 8.\n",
@ -384,7 +412,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 9.\n", "Computing boundary-matrix in dimension 9.\n",
@ -403,7 +431,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n" "\n"
] ]
}, },
@ -413,7 +441,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -424,10 +452,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 4,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -435,7 +461,7 @@
"[K23 Abelian-Simplicial-Group]" "[K23 Abelian-Simplicial-Group]"
] ]
}, },
"execution_count": 3, "execution_count": 4,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -446,10 +472,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 4, "execution_count": 5,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -460,7 +484,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 0) :\n", "Computing the boundary of the generator 1/1 (dimension 0) :\n",
"<<Abar>> \n", "<<Abar>> \n",
"End of computing.\n", "End of computing.\n",
@ -480,7 +504,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 1.\n", "Computing boundary-matrix in dimension 1.\n",
@ -491,7 +515,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 2) :\n", "Computing the boundary of the generator 1/1 (dimension 2) :\n",
"<<Abar[2 S1]>> \n", "<<Abar[2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -505,14 +529,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 2.\n", "Computing boundary-matrix in dimension 2.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 2) :\n", "Computing the boundary of the generator 1/1 (dimension 2) :\n",
"<<Abar[2 S1]>> \n", "<<Abar[2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -532,7 +556,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 3.\n", "Computing boundary-matrix in dimension 3.\n",
@ -543,7 +567,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 4) :\n", "Computing the boundary of the generator 1/1 (dimension 4) :\n",
"<<Abar[2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -557,14 +581,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 4.\n", "Computing boundary-matrix in dimension 4.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 4) :\n", "Computing the boundary of the generator 1/1 (dimension 4) :\n",
"<<Abar[2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -584,7 +608,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 5.\n", "Computing boundary-matrix in dimension 5.\n",
@ -595,7 +619,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[2 S1][2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -609,14 +633,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 6.\n", "Computing boundary-matrix in dimension 6.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 6) :\n", "Computing the boundary of the generator 1/1 (dimension 6) :\n",
"<<Abar[2 S1][2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -636,7 +660,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 7.\n", "Computing boundary-matrix in dimension 7.\n",
@ -647,7 +671,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 8) :\n", "Computing the boundary of the generator 1/1 (dimension 8) :\n",
"<<Abar[2 S1][2 S1][2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1][2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -661,14 +685,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 8.\n", "Computing boundary-matrix in dimension 8.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 8) :\n", "Computing the boundary of the generator 1/1 (dimension 8) :\n",
"<<Abar[2 S1][2 S1][2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1][2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -688,7 +712,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 9.\n", "Computing boundary-matrix in dimension 9.\n",
@ -699,7 +723,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 10) :\n", "Computing the boundary of the generator 1/1 (dimension 10) :\n",
"<<Abar[2 S1][2 S1][2 S1][2 S1][2 S1]>> \n", "<<Abar[2 S1][2 S1][2 S1][2 S1][2 S1]>> \n",
"End of computing.\n", "End of computing.\n",
@ -713,7 +737,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 29s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n" "\n"
] ]
}, },
@ -723,7 +747,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 4, "execution_count": 5,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -734,10 +758,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 5, "execution_count": 6,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"data": { "data": {
@ -745,7 +767,7 @@
"[K154 Simplicial-Group]" "[K154 Simplicial-Group]"
] ]
}, },
"execution_count": 5, "execution_count": 6,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -756,10 +778,8 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 6, "execution_count": 7,
"metadata": { "metadata": {},
"collapsed": false
},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
@ -770,7 +790,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 0) :\n", "Computing the boundary of the generator 1/1 (dimension 0) :\n",
"<<AlLp>> \n", "<<AlLp>> \n",
"End of computing.\n", "End of computing.\n",
@ -780,7 +800,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 1) :\n", "Computing the boundary of the generator 1/1 (dimension 1) :\n",
"<<AlLp[1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -796,14 +816,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 1.\n", "Computing boundary-matrix in dimension 1.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 1) :\n", "Computing the boundary of the generator 1/1 (dimension 1) :\n",
"<<AlLp[1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -813,7 +833,7 @@
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 2) :\n", "Computing the boundary of the generator 1/1 (dimension 2) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -829,14 +849,14 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 2.\n", "Computing boundary-matrix in dimension 2.\n",
"Rank of the source-module : 1.\n", "Rank of the source-module : 1.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/1 (dimension 2) :\n", "Computing the boundary of the generator 1/1 (dimension 2) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -846,13 +866,13 @@
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/2 (dimension 3) :\n", "Computing the boundary of the generator 1/2 (dimension 3) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/2 (dimension 3) :\n", "Computing the boundary of the generator 2/2 (dimension 3) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -866,20 +886,20 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 3.\n", "Computing boundary-matrix in dimension 3.\n",
"Rank of the source-module : 2.\n", "Rank of the source-module : 2.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/2 (dimension 3) :\n", "Computing the boundary of the generator 1/2 (dimension 3) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/2 (dimension 3) :\n", "Computing the boundary of the generator 2/2 (dimension 3) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -889,19 +909,19 @@
"Rank of the source-module : 3.\n", "Rank of the source-module : 3.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/3 (dimension 4) :\n", "Computing the boundary of the generator 1/3 (dimension 4) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/3 (dimension 4) :\n", "Computing the boundary of the generator 2/3 (dimension 4) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 3/3 (dimension 4) :\n", "Computing the boundary of the generator 3/3 (dimension 4) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -915,26 +935,26 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 4.\n", "Computing boundary-matrix in dimension 4.\n",
"Rank of the source-module : 3.\n", "Rank of the source-module : 3.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/3 (dimension 4) :\n", "Computing the boundary of the generator 1/3 (dimension 4) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/3 (dimension 4) :\n", "Computing the boundary of the generator 2/3 (dimension 4) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 3/3 (dimension 4) :\n", "Computing the boundary of the generator 3/3 (dimension 4) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -944,31 +964,31 @@
"Rank of the source-module : 5.\n", "Rank of the source-module : 5.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/5 (dimension 5) :\n", "Computing the boundary of the generator 1/5 (dimension 5) :\n",
"<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/5 (dimension 5) :\n", "Computing the boundary of the generator 2/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 3/5 (dimension 5) :\n", "Computing the boundary of the generator 3/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 4/5 (dimension 5) :\n", "Computing the boundary of the generator 4/5 (dimension 5) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 5/5 (dimension 5) :\n", "Computing the boundary of the generator 5/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -982,38 +1002,38 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"\n", "\n",
"\n", "\n",
"Computing boundary-matrix in dimension 5.\n", "Computing boundary-matrix in dimension 5.\n",
"Rank of the source-module : 5.\n", "Rank of the source-module : 5.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/5 (dimension 5) :\n", "Computing the boundary of the generator 1/5 (dimension 5) :\n",
"<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/5 (dimension 5) :\n", "Computing the boundary of the generator 2/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 3/5 (dimension 5) :\n", "Computing the boundary of the generator 3/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 4/5 (dimension 5) :\n", "Computing the boundary of the generator 4/5 (dimension 5) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 5/5 (dimension 5) :\n", "Computing the boundary of the generator 5/5 (dimension 5) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1023,49 +1043,49 @@
"Rank of the source-module : 8.\n", "Rank of the source-module : 8.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 1/8 (dimension 6) :\n", "Computing the boundary of the generator 1/8 (dimension 6) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][5 <<Abar[2 S1][2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 2/8 (dimension 6) :\n", "Computing the boundary of the generator 2/8 (dimension 6) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 3/8 (dimension 6) :\n", "Computing the boundary of the generator 3/8 (dimension 6) :\n",
"<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[5 <<Abar[2 S1][2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 4/8 (dimension 6) :\n", "Computing the boundary of the generator 4/8 (dimension 6) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 5/8 (dimension 6) :\n", "Computing the boundary of the generator 5/8 (dimension 6) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 6/8 (dimension 6) :\n", "Computing the boundary of the generator 6/8 (dimension 6) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 7/8 (dimension 6) :\n", "Computing the boundary of the generator 7/8 (dimension 6) :\n",
"<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[3 <<Abar[2 S1][2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
"\n", "\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 7s.\n",
"Computing the boundary of the generator 8/8 (dimension 6) :\n", "Computing the boundary of the generator 8/8 (dimension 6) :\n",
"<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n", "<<AlLp[1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>][1 <<Abar[2 S1]>>]>> \n",
"End of computing.\n", "End of computing.\n",
@ -1079,7 +1099,7 @@
"\n", "\n",
"---done---\n", "---done---\n",
"\n", "\n",
";; Clock -> 2016-03-25, 12h 22m 30s.\n", ";; Clock -> 2017-10-08, 12h 33m 8s.\n",
"\n" "\n"
] ]
}, },
@ -1089,7 +1109,7 @@
"NIL" "NIL"
] ]
}, },
"execution_count": 6, "execution_count": 7,
"metadata": {}, "metadata": {},
"output_type": "execute_result" "output_type": "execute_result"
} }
@ -1123,5 +1143,5 @@
} }
}, },
"nbformat": 4, "nbformat": 4,
"nbformat_minor": 0 "nbformat_minor": 1
} }

798
examples/21_Computing_homotopy_groups.ipynb
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