Added a few examples from Chapter 0 of the Kenzo User's Guide.

examples/overview.lisp

@@ -0,0 +1,54 @@
+
+(require 'asdf)
+
+(asdf:operate 'asdf:load-op 'kenzo)
+
+(format t "~%Initializing Kenzo...")
+(cat:cat-init)
+(cat:kenzo-version)
+
+(format t "~%Creating simplicial set Moore(Z/2Z,3):")
+(defvar m23 (cat:moore 2 3))
+(print m23)
+
+(format t "~%~%Calculating the homology groups of dimensions 0 to 4:~%")
+(cat:homology m23 0 5)
+
+(format t "~%~%Creating the cartesian product Moore(Z/2Z,3)xMoore(Z/2Z,3):~%")
+(defvar m23xm23 (cat:crts-prdc m23 m23))
+(print m23xm23)
+
+(let ((b (cat:basis m23xm23 6)))
+  (format t "~%~%Basis in dimension 6:~%")
+  (print b)
+  (format t "~%~%Length: ~A~%" (length b)))
+
+(format t "~%~%Creating the tensor product Moore(Z/2Z,3)#Moore(Z/2Z,3):~%")
+(defvar t2m23 (cat:tnsr-prdc m23 m23))
+(print t2m23)
+
+(format t "Basis in dimension 6: ~%")
+(print (cat:basis t2m23 6))
+
+(format t "~%~%Calculating the homology groups of dimensions 0 to 8:~%")
+(cat:homology t2m23 0 8)
+
+(format t "~%Creating the abelian simplicial group K(Z,1):")
+(defvar kz1 (cat:k-z 1))
+(print kz1)
+
+(format t "~%~%Calculating coproduct:")
+(print (cat:cprd kz1 4 '(2 3 4 5)))
+
+(format t "~%~%Calculating product:")
+(print (cat:aprd kz1 6 (cat:tnpr 2 '(1 2) 4 '(3 4 5 6))))
+
+(format t "~%Creating the abelian simplicial group K(Z/2Z,2):")
+(defvar k-z2-2 (cat:k-z2 2))
+(print k-z2-2)
+
+(format t "~%~%Calculating the homology group of dimension 4:~%")
+(cat:homology k-z2-2 4)
+
+#+ccl (quit)
+#+sbcl (sb-ext:exit)