Commit graph

456 commits

Author SHA1 Message Date
Ulrik Buchholtz
22d8fad087 complete is_trivial_subgroup 2016-09-15 15:04:20 -04:00
Floris van Doorn
6cec5dcdaa fix definition of homotopy group of spectrum, continue of LES of spectra 2016-09-14 18:46:53 -04:00
Floris van Doorn
2bf316e347 add the universal property of quotient as exercises 2016-09-14 17:31:52 -04:00
Floris van Doorn
17d76bdb31 rename group_basics to subgroup 2016-09-14 17:31:52 -04:00
Floris van Doorn
d2f95f344f some small changes, move aut to group_constructions 2016-09-14 17:11:44 -04:00
Floris van Doorn
65e6e062be let group_constructions import group_basics 2016-09-14 17:07:09 -04:00
Floris van Doorn
9d00ea2f6f feat(spectrum): start on the LES of homotopy groups for spectra 2016-09-09 16:45:44 -04:00
Floris van Doorn
c9af080cc2 feat(splice): prove a lemma on how to splice chain complexes together 2016-09-09 16:43:39 -04:00
Floris van Doorn
b45e20d0cc feat(cohomology): start on cohomology file 2016-09-09 16:43:09 -04:00
Ulrik Buchholtz
aeec8cae85 full_subgroup 2016-09-08 15:02:28 -04:00
Ulrik Buchholtz
af0b342de8 group_basics fixes 2016-09-08 14:58:51 -04:00
Egbert Rijke
01f90ef944 small comment 2016-09-08 14:28:52 -04:00
Egbert Rijke
b1dfa3ad7b defined the full subgoup in group_basic.hlean 2016-09-08 14:27:51 -04:00
Egbert Rijke
b470ea7dcd definition of trivial group in group_basic.hlean 2016-09-08 14:00:23 -04:00
Egbert Rijke
d9648cd2b7 trying to split the file of group constructions into a part that's not about any constructions, and a part that is. The file became huge 2016-09-08 11:32:36 -04:00
Egbert Rijke
ff99c2113a kernels were already defined later. I moved them 2016-09-07 23:05:49 -04:00
Egbert Rijke
9f4436d505 some comments on the file on group_constructions 2016-09-07 22:43:50 -04:00
Steve Awodey
2b96a317b4 added SStodo9_2016 2016-09-01 15:40:11 -04:00
Floris van Doorn
78492bbe09 feat(EM): Work on uniqueness of K(G,n)'s 2016-09-01 14:08:42 -04:00
Floris van Doorn
dc2a26745e move results to HoTT library, and start on uniqueness of K(G, n) for n>1 2016-06-26 09:26:13 +01:00
Floris van Doorn
21c6e8f7e5 small changes after changes in HoTT library 2016-06-26 09:26:13 +01:00
Floris van Doorn
d6d08ccd83 update README 2016-06-26 09:25:50 +01:00
Egbert Rijke
4524af4ddc image of homomorphism is subgroup 2016-05-12 16:57:33 -04:00
Floris van Doorn
9f5d7bda9f more stuff 2016-04-26 17:33:17 -04:00
Floris van Doorn
62c134df4e whitehead corollaries 2016-04-26 16:07:15 -04:00
Floris van Doorn
ba7b25d00f move files to the HoTT library and update after changes in the HoTT library 2016-04-25 19:51:17 -04:00
Floris van Doorn
0af9c0ecc7 prove is_equiv_π_of_is_connected for functions where the domain and codomain live in different universes 2016-04-14 17:15:03 -04:00
Floris van Doorn
7d7ddaff9f give the LES of a fibration sequence 2016-04-13 12:20:22 -04:00
Floris van Doorn
2de92db5b6 some cleanup 2016-04-12 17:59:15 -04:00
Floris van Doorn
a716ef2108 applications: prove almost completely that S^3 and S^2 have the same high enough homotopy groups
There is one missing fact, which is that the equivalence between S^1 and the fiber of the hopf fibration respects the basepoint
2016-04-11 23:17:10 -04:00
Floris van Doorn
9a476fecfe sec86: finish proof of stability of spheres as groups 2016-04-11 15:55:28 -04:00
Floris van Doorn
0f9433c921 Rename some files, use the new LES file for the application file. 2016-04-07 17:28:33 -04:00
Floris van Doorn
37fbe56b8c Finish construction of the LES of homotopy groups without signs
The maps on every level are just the functorial action of the homotopy groups (possibly composed by a cast), but there are no compositions with path inversion.
There are also some updates in various files after changes in the HoTT library.
2016-04-07 17:28:19 -04:00
Floris van Doorn
cb40d9b8fc add some copyright notices and LICENSE file 2016-04-06 12:35:30 -04:00
Floris van Doorn
c1038a3f96 give the definition of the I-ary direct sum 2016-03-31 13:22:45 -04:00
Mike Shulman
a6bf82618f feat(homotopy/spectrum): sections of parametrized spectra 2016-03-25 09:33:36 -07:00
Mike Shulman
af5a3091bb Merge branch 'master' of github.com:cmu-phil/Spectral 2016-03-24 16:30:22 -07:00
Mike Shulman
f8f7f69bcd Finish proof of pfiber_equiv_of_square 2016-03-24 16:30:10 -07:00
Ulrik Buchholtz
288e0d71b2 make everything compile on lean post 6f74f6522... 2016-03-24 16:14:44 -04:00
Egbert Rijke
960e7075bd initiating graded.hlean 2016-03-24 14:24:47 -04:00
Egbert Rijke
0b1fbbe3e1 initiating algebra folder 2016-03-24 14:19:06 -04:00
Floris van Doorn
6807883830 port module from the standard library 2016-03-24 13:41:51 -04:00
Ulrik Buchholtz
5a23744094 update README to reflect recent discussion 2016-03-24 13:27:21 -04:00
Egbert Rijke
652ca1da84 working on the join theorem 2016-03-24 13:27:21 -04:00
Ulrik Buchholtz
9ca4a3fbb1 start spherical fibrations (NB post #1021 lean) 2016-03-24 13:27:21 -04:00
Floris van Doorn
00978587e5 update README 2016-03-24 13:27:21 -04:00
Floris van Doorn
97d7d0c108 updates after changes in the HoTT library 2016-03-24 13:27:21 -04:00
Floris van Doorn
0483966328 prove the Freudenthal Suspension Theorem 2016-03-24 13:27:21 -04:00
Floris van Doorn
a76e4fce08 prove that the join of two spheres is a sphere 2016-03-24 13:27:21 -04:00
Mike Shulman
22e75da53e chain complexes of spectra 2016-03-23 11:32:25 -07:00