Added a few more examples.
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@ -47,8 +47,48 @@
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(defvar k-z2-2 (cat:k-z2 2))
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(print k-z2-2)
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#|
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(format t "~%~%Calculating the homology group of dimension 4:~%")
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(cat:homology k-z2-2 4)
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|#
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(format t "~%Creating sphere S^3:")
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(defvar s3 (cat:sphere 3))
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(print s3)
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(format t "~%Creating loop space Omega^2S^3:")
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(defvar o2s3 (cat:loop-space s3 2))
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(print o2s3)
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#|
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(format t "~%~%Calculating the homology groups of dimensions 4 to 6:~%")
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(cat:homology o2s3 4 6)
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|#
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(format t "~%Creating loop space Omega^1S^3:")
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(defvar os3 (cat:loop-space s3))
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(print os3)
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(format t "~%Retrieving the canonical generator of pi_2(Omega^1S^3):")
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(defvar L1 (cat:loop3 0 's3 1))
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(print L1)
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(defvar null-simp (cat:absm 3 cat:+null-loop+))
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(print null-simp)
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#|
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(defvar dos3 (cat:disk-pasting os3 3 '<D3>
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(list L1 null-simp L1 null-simp)))
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(print dos3)
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(cat:homology dos3 2 4)
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(defvar odos3 (cat:loop-space dos3))
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(print odos3)
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(cat:homology odos3 5)
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|#
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#+ccl (quit)
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#+sbcl (sb-ext:exit)
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@ -186,6 +186,10 @@
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SOFT-DELTA-INFINITY
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SOFT-DELTA-N-BASIS
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;; disk-pasting.lisp
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DISK-PASTING
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;; effective-homology.lisp
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BUILD-RDCT
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@ -241,8 +245,10 @@
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;; loop-spaces.lisp
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+NULL-LOOP+
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GDELTAB
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LOOP3
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LOOP-SPACE
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;; macros.lisp
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