kenzo/test/serre-test.lisp
2015-07-28 06:47:14 -05:00

131 lines
3.0 KiB
Common Lisp

(in-package :kenzo-test)
(in-suite :kenzo)
(test fibration-dtau-d-intr
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z2-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 1))
:orgn '(s2-tw-kz2)))
(dt-d (cat:fibration-dtau-d-intr tw)))
(funcall dt-d 0 (cat:crpr 0 '* 0 0))
(funcall dt-d 3 (cat:crpr 4 's2 0 3))
(funcall dt-d 3 (cat:crpr 2 's2 0 3))
(funcall dt-d 3 (cat:crpr 2 's2 5 1))
(funcall dt-d 2 (cat:crpr 0 's2 0 2))))
(test fibration-dtau-d-intr1
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 (list 1)))
:orgn '(s2-tw-kz)))
(dt-d (cat:fibration-dtau-d-intr tw)))
(funcall dt-d 0 (cat:crpr 0 '* 0 nil))
(funcall dt-d 3 (cat:crpr 4 's2 0 '(2 3 4)))
(funcall dt-d 3 (cat:crpr 2 's2 0 '(2 3 4)))
(funcall dt-d 3 (cat:crpr 2 's2 5 '(5)))
(funcall dt-d 2 (cat:crpr 0 's2 0 '(3 -2)))))
(test fibration-dtau-d
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 (list 1)))
:orgn '(s2-tw-kz)))
(dt-d (cat:fibration-dtau-d tw)))
(cat:? dt-d 0 (cat:crpr 0 '* 0 nil))
(cat:? dt-d 3 (cat:crpr 4 's2 0 '(2 3 4)))
(cat:? dt-d 3 (cat:crpr 2 's2 0 '(2 3 4)))
(cat:? dt-d 3 (cat:crpr 2 's2 5 '(5)))
(cat:? dt-d 2 (cat:crpr 0 's2 0 '(3 -2)))))
(test brown-reduction
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z2-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 1))
:orgn '(s2-tw-kz2)))
(brown (cat:brown-reduction tw))
(tcc (cat:tcc brown))
(bcc (cat:bcc brown)))
(cat:homology bcc 3)
(cat:homology tcc 1 8)
(cat:homology bcc 1 8)))
#|
(test brown-reduction1
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 (list 1)))
:orgn '(s2-tw-kz)))
(brown (cat:brown-reduction tw)))
(cat:homology (cat:tcc brown) 1 5)
(cat:homology (cat:bcc brown) 1 5)))
|#
(test right-serre-efhm
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 (list 1)))
:orgn '(s2-tw-kz1)))
(rh (cat:right-serre-efhm tw))
(rbcc (cat:rbcc rh)))
(cat:homology rbcc 0 5)))
(test fibration-total
(cat:cat-init)
(let* ((s2 (cat:sphere 2))
(k (cat:k-z-1))
(tw (cat:build-smmr
:sorc s2
:trgt k
:degr -1
:sintr #'(lambda (dmns gmsm)
(cat:absm 0 (list 1)))
:orgn '(s2-tw-kz1)))
(p3r (cat:fibration-total tw)))
(cat:homology p3r 1)))
(test dummy
(is (not (null t))))