Floris van Doorn
1a26d405ef
define pmap in terms of ppi
2017-07-21 15:53:34 +01:00
Floris van Doorn
ddef24223b
make pointed suspensions, wedges and spheres the default (in contrast to the unpointed ones), remove sphere_index
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All HITs which automatically have a point are pointed without a 'p' in front. HITs which do not automatically have a point do still have a p (e.g. pushout/ppushout).
There were a lot of annoyances with spheres being indexed by N_{-1} with almost no extra generality. We now index the spheres by nat, making sphere 0 = pbool.
2017-07-20 15:02:09 +01:00
Floris van Doorn
7430d2c73b
fix(hott): fix cofiber.elim and redefine cofiber as the symmetric pushout
2017-02-16 23:31:58 -05:00
Floris van Doorn
914addc66c
feat(homotopy): introduce notation for topological type constructors
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Also change the alternative induction/recursion principle for the smash product
2017-01-18 22:24:59 +01:00
Floris van Doorn
4ed4fb7c67
feat(hott/homotopy): cleanup cofiber and wedge, redefine smash
2016-12-02 16:55:23 -08:00
Floris van Doorn
9342fe2716
feat(hott) move many lemmas to library, and cleanup various parts
2016-12-02 16:55:23 -08:00
Floris van Doorn
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
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This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
2016-05-06 14:27:27 -07:00
Floris van Doorn
087c44d614
style(hott): rename instances of pType using pfoo instead of Foo
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For example, the pointed suspension operation was called Susp before this commit, but now is called psusp
2016-02-22 11:15:38 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
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also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -08:00
Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Jakob von Raumer
23dec19aa7
feat(hott): start lemma about smashing with bool
2016-02-09 09:57:52 -08:00
Jakob von Raumer
8bc4206c62
feat(hott): add custom recursors for cofiber type
2016-02-09 09:57:47 -08:00
Jakob von Raumer
31e2653e58
feat(hott): add lemma: cofiber of terminal morphism is suspension
2016-02-09 09:57:39 -08:00
Jakob von Raumer
7e02ea6cab
feat(hott): add smash product of pointed types
2016-02-09 09:57:33 -08:00
Jakob von Raumer
56cd88267c
feat(hott): add cofiber of a function, prove lemma that cofibers of equivalences are contractible
2016-02-09 09:57:21 -08:00
