Added a few more examples.

This commit is contained in:
Gerd Heber 2015-07-15 11:57:11 -05:00
parent c18a485dcb
commit d46e4d3046
2 changed files with 46 additions and 0 deletions

View File

@ -47,8 +47,48 @@
(defvar k-z2-2 (cat:k-z2 2)) (defvar k-z2-2 (cat:k-z2 2))
(print k-z2-2) (print k-z2-2)
#|
(format t "~%~%Calculating the homology group of dimension 4:~%") (format t "~%~%Calculating the homology group of dimension 4:~%")
(cat:homology k-z2-2 4) (cat:homology k-z2-2 4)
|#
(format t "~%Creating sphere S^3:")
(defvar s3 (cat:sphere 3))
(print s3)
(format t "~%Creating loop space Omega^2S^3:")
(defvar o2s3 (cat:loop-space s3 2))
(print o2s3)
#|
(format t "~%~%Calculating the homology groups of dimensions 4 to 6:~%")
(cat:homology o2s3 4 6)
|#
(format t "~%Creating loop space Omega^1S^3:")
(defvar os3 (cat:loop-space s3))
(print os3)
(format t "~%Retrieving the canonical generator of pi_2(Omega^1S^3):")
(defvar L1 (cat:loop3 0 's3 1))
(print L1)
(defvar null-simp (cat:absm 3 cat:+null-loop+))
(print null-simp)
#|
(defvar dos3 (cat:disk-pasting os3 3 '<D3>
(list L1 null-simp L1 null-simp)))
(print dos3)
(cat:homology dos3 2 4)
(defvar odos3 (cat:loop-space dos3))
(print odos3)
(cat:homology odos3 5)
|#
#+ccl (quit) #+ccl (quit)
#+sbcl (sb-ext:exit) #+sbcl (sb-ext:exit)

View File

@ -186,6 +186,10 @@
SOFT-DELTA-INFINITY SOFT-DELTA-INFINITY
SOFT-DELTA-N-BASIS SOFT-DELTA-N-BASIS
;; disk-pasting.lisp
DISK-PASTING
;; effective-homology.lisp ;; effective-homology.lisp
BUILD-RDCT BUILD-RDCT
@ -241,8 +245,10 @@
;; loop-spaces.lisp ;; loop-spaces.lisp
+NULL-LOOP+
GDELTAB GDELTAB
LOOP3 LOOP3
LOOP-SPACE
;; macros.lisp ;; macros.lisp