Extracted last batch of classifying spaces tests.
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@ -18,6 +18,7 @@
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(:file "chcm-elementary-op-test")
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(:file "circle")
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(:file "cl-space-efhm-test")
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(:file "classifying-spaces-test")
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(:file "combinations-test")
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(:file "cones-test")
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(:file "delta-test")
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@ -141,6 +141,7 @@
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REDUCTION
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RRDCT
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SIMPLICIAL-GROUP
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SINTR
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SORC
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TCC
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TNPR
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@ -151,6 +152,9 @@
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CLASSIFYING-SPACE
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CLASSIFYING-SPACE-BASIS
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CLASSIFYING-SPACE-CMPR
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CLASSIFYING-SPACE-FACE
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CLASSIFYING-SPACE-GRIN-SINTR
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CLASSIFYING-SPACE-GRML-SINTR
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GBAR
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NORMALIZE-GBAR
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UNNORMALIZE-GBAR
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@ -302,6 +306,7 @@
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DGNL
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GNRT
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GRIN
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GRML
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I-SBTR
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KFLL
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LF
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@ -206,20 +206,11 @@
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rslt
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(cons (a-grml4 sintr-grml (1- indx)
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(second mark)
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(a-face4 face indx indx (first mark)))
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(a-face4 face indx indx
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(first mark)))
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(nthcdr 2 mark))))))))))
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(the face #'rslt)))
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#|
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(setf om (loop-space (moore 2 2)))
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(setf face (classifying-space-face (face om) (sintr (grml om))))
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(setf gbar (gbar 4 0 (loop3 3 'm2 1 4 'n3 1)
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0 (loop3 0 'n3 1)
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0 (loop3 0 'm2 1)
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0 +null-loop+))
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(dotimes (i 5)
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(print (funcall face i 4 gbar)))
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|#
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(DEFGENERIC CLASSIFYING-SPACE (smgr))
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@ -231,17 +222,6 @@
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:face (classifying-space-face (face smgr) (sintr (grml smgr)))
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:orgn `(classifying-space ,smgr))))
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#|
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(cat-init)
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(setf c (classifying-space (k-z2-1)))
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(orgn c)
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(first (basis c 4))
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(? c 4 (first (basis c 4)))
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(? c *)
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(cprd c 4 ***)
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(dotimes (i 5)
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(print (face c i 4 (first (basis c 4)))))
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|#
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(DEFUN CLASSIFYING-SPACE-GRML-SINTR (idnt sintr-grml)
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(declare
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@ -265,16 +245,6 @@
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absm-list-1 absm-list-2)))))))
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(the sintr #'rslt)))
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#|
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(setf grml (classifying-space-grml-sintr '() (sintr (grml (k-z-1)))))
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(funcall grml 3 (crpr 0 (gbar 3 0 '(1 2) 0 '(3) 0 '())
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0 (gbar 3 0 '(-1 -2) 0 '(-3) 0 '())))
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(funcall grml 3 (crpr 0 (gbar 3 0 '(1 2) 0 '(3) 0 '())
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4 (gbar 2 0 '(-3) 0 '())))
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(funcall grml 3 (crpr 0 (gbar 3 0 '(1 2) 0 '(3) 0 '())
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1 (gbar 2 0 '(-3) 0 '())))
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|#
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(DEFUN CLASSIFYING-SPACE-GRIN-SINTR (sintr-grin)
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(declare (type sintr sintr-grin))
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@ -292,19 +262,15 @@
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(gbar-list gbar))))))
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(the sintr #'rslt)))
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#|
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(setf grin (classifying-space-grin-sintr (sintr (grin (k-z-1)))))
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(funcall grin 3 (gbar 3 0 '(1 2) 1 '() 0 '()))
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|#
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(DEFMETHOD CLASSIFYING-SPACE ((smgr ab-simplicial-group))
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(the ab-simplicial-group
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(change-class
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(change-class
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(build-smgr :cmpr (classifying-space-cmpr (cmpr smgr))
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:basis (classifying-space-basis (basis smgr))
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:bspn +null-gbar+
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:face (classifying-space-face (face smgr) (sintr (grml smgr)))
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:face (classifying-space-face (face smgr)
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(sintr (grml smgr)))
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:sintr-grml (classifying-space-grml-sintr
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(bspn smgr)
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(sintr (grml smgr)))
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@ -312,16 +278,3 @@
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(sintr (grin smgr)))
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:orgn `(classifying-space ,smgr))
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'ab-simplicial-group)))
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#|
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(setf k-z-1 (k-z-1))
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(setf k-z-2 (classifying-space k-z-1))
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(setf k-z-3 (classifying-space k-z-2))
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(homology k-z-3 0 10)
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(setf k-z2-1 (k-z2-1))
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(setf k-z2-2 (classifying-space k-z2-1))
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(setf k-z2-3 (classifying-space k-z2-2))
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(setf k-z2-4 (classifying-space k-z2-3))
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(setf k-z2-5 (classifying-space k-z2-4))
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(homology k-z2-5 0 7)
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|#
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@ -67,13 +67,12 @@
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(test gbar
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(cat:gbar 0)
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(signals #-ecl simple-error
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#+ecl simple-type-error (cat:gbar 1))
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(signals simple-error (cat:gbar 1))
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(cat:gbar 2 1 'a 2 'b))
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(test classifying-space-cmpr
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(let ((cmpr (cat:classifying-space-cmpr 'cat:s-cmpr)))
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(let ((cmpr (cat:classifying-space-cmpr #'cat:s-cmpr)))
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(is (equal :less (funcall cmpr
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(cat:gbar 2 0 'a 0 'a)
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(cat:gbar 2 1 'a 0 'a))))
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@ -92,12 +91,57 @@
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(funcall b 0)
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(funcall b 1)
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(dotimes (i 5) (print (funcall b i)))))
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#|
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()
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(cat-init)
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(setf k (k-z2-1))
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(setf b (classifying-space-basis (basis k)))
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(funcall b 0)
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(funcall b 1)
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(dotimes (i 5) (print (funcall b i)))
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|#
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(test classifying-space-face
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(let* ((om (cat:loop-space (cat:moore 2 2)))
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(face (cat:classifying-space-face (cat:face om)
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(cat:sintr (cat:grml om))))
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(gbar (cat:gbar 4 0 (cat:loop3 3 'm2 1 4 'n3 1)
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0 (cat:loop3 0 'n3 1)
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0 (cat:loop3 0 'm2 1)
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0 cat:+null-loop+)))
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(dotimes (i 5)
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(print (funcall face i 4 gbar)))))
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(test classifying-space
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(cat:cat-init)
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(let ((c (cat:classifying-space (cat:k-z2-1))))
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(cat:orgn c)
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(first (cat:basis c 4))
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(cat:? c 4 (first (cat:basis c 4)))
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(cat:? c (cat:? c 4 (first (cat:basis c 4))))
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(cat:cprd c 4 (first (cat:basis c 4)))
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(dotimes (i 5)
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(print (cat:face c i 4 (first (cat:basis c 4)))))))
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(test classifying-space-grml-sintr
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(let ((grml (cat:classifying-space-grml-sintr
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'() (cat:sintr (cat:grml (cat:k-z-1))))))
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(funcall grml 3 (cat:crpr 0 (cat:gbar 3 0 '(1 2) 0 '(3) 0 '())
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0 (cat:gbar 3 0 '(-1 -2) 0 '(-3) 0 '())))
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(funcall grml 3 (cat:crpr 0 (cat:gbar 3 0 '(1 2) 0 '(3) 0 '())
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4 (cat:gbar 2 0 '(-3) 0 '())))
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(funcall grml 3 (cat:crpr 0 (cat:gbar 3 0 '(1 2) 0 '(3) 0 '())
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1 (cat:gbar 2 0 '(-3) 0 '())))))
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(test classifying-space-grin-sintr
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(let ((grin (cat:classifying-space-grin-sintr
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(cat:sintr (cat:grin (cat:k-z-1))))))
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(funcall grin 3 (cat:gbar 3 0 '(1 2) 1 '() 0 '()))))
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(test classifying-space1
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(cat:cat-init)
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(let* ((k-z-1 (cat:k-z-1))
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(k-z-2 (cat:classifying-space k-z-1))
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(k-z-3 (cat:classifying-space k-z-2))
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(k-z2-1 (cat:k-z2-1))
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(k-z2-2 (cat:classifying-space k-z2-1))
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(k-z2-3 (cat:classifying-space k-z2-2))
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(k-z2-4 (cat:classifying-space k-z2-3))
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(k-z2-5 (cat:classifying-space k-z2-4)))
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(cat:homology k-z-3 0 10)
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(cat:homology k-z2-5 0 7)))
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