Commit graph

23 commits

Author SHA1 Message Date
Jakob von Raumer
68901c7788 feat(hott/homotopy): complete join associativity proof, helper lemmas for squares 2015-12-02 23:13:21 -08:00
Jakob von Raumer
bd064ef9c8 feat(hott/homotopy): prove missing helper lemmas up to cube massaging 2015-12-02 23:13:17 -08:00
Jakob von Raumer
811f3067ff feat(hott): join associativity proof done up to small auxiliary lemmas, add transposition, inversion of cubes 2015-12-02 23:13:12 -08:00
Jakob von Raumer
e481e541a2 feat(hott/homotopy): more progress on join associativity 2015-12-02 23:13:03 -08:00
Jakob von Raumer
6c6dde7e48 feat(hott/homotopy): progress on join associativity, many coherence lemmas about square operations needed 2015-12-02 23:12:59 -08:00
Jakob von Raumer
54b1d1a9fe feat(hott/homotopy): more steps towards join associativity, cube composition 2015-12-02 23:12:46 -08:00
Jakob von Raumer
e1e8680474 feat(hott/homotopy): continue defining squares for join associativity 2015-12-02 23:12:41 -08:00
Jakob von Raumer
12a498d411 feat(hott/homotopy): add join switch and derive associativity from switch 2015-12-02 23:12:29 -08:00
Jakob von Raumer
149e5fff9f feat(hott/homotopy): add commutativity proof for join 2015-12-02 23:12:24 -08:00
Jakob von Raumer
eea219e33f feat(hott/homotopy): start associativity proof for join 2015-12-02 23:12:19 -08:00
Floris van Doorn
c44ad80e4e feat(homotopy/torus): give recursion and induction principle for the torus
also change the surface of the torus to a square instead of an equality between paths
2015-11-22 18:29:37 -08:00
Floris van Doorn
45d808ce7f feat(homotopy/circle): give all higher homotopy groups of the circle 2015-11-22 14:21:25 -08:00
Floris van Doorn
810a399699 style(homotopy/circle): clean-up encode-decode proof 2015-11-22 14:21:25 -08:00
Floris van Doorn
206bcd4b2a feat(algebra/homotopy_group): define homotopy groups 2015-11-16 21:32:09 -08:00
Floris van Doorn
47be1e3a15 feat(types/pointed): change definition of loop space 2015-11-16 21:32:09 -08:00
Ulrik Buchholtz
aebb88d42b feat(hott/homotopy): connectedness, including HoTT Thm 8.2.1 2015-11-08 14:21:16 -08:00
Floris van Doorn
18ec5f8b85 feat(categories): prove introduction rule for equivalences 2015-11-08 14:04:58 -08:00
Jakob von Raumer
d508ceccec feat(hott/homotpy) add join operator, and prove two basic lemmas 2015-10-13 09:59:24 -07:00
Floris van Doorn
3c4c722afd feat(hott): port more from chapters 4 and 6 of the book 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
c6f3f6f3f4 feat(hott): prove HoTT book 7.5.4 and 7.5.5 2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
ed1029641a fix(hott/*): update book.md and clean up homotopy.connectedness 2015-09-28 09:09:21 -07:00
Leonardo de Moura
4a6ff8058d fix(hott): import commands (some files have been moved to different directories) 2015-09-25 09:39:45 -07:00
Ulrik Buchholtz
384a366e0f refactor(hott): move homotopy hits to new homotopy folder 2015-09-24 22:52:33 -04:00