Commit graph

124 commits

Author SHA1 Message Date
Floris van Doorn
ead2fbbd58 do the loop-susp adjunction in pointed types 2016-10-13 16:01:59 -04:00
Floris van Doorn
a31c15e384 continue on spectrification 2016-10-13 16:01:54 -04:00
Floris van Doorn
946506af5c define smash without any 2-paths and work on smashing with the circle 2016-10-13 15:49:47 -04:00
Floris van Doorn
b3765932d9 work on spectrification 2016-10-13 15:49:47 -04:00
Floris van Doorn
0a15d184b2 cohomology: define cohomology as abelian groups and define the functorial action 2016-10-13 15:49:17 -04:00
Egbert Rijke
038bbb8be3 split group_constructions into several files 2016-10-13 15:04:57 -04:00
Floris van Doorn
258671578d EM: add functorial action and equivalence of 1-Type*[0] and Group
n-Type*[k] is new notation for n-truncated k-connected pointed types. All 'subnotations' are also defined
2016-09-23 17:16:48 -04:00
Floris van Doorn
d8c694e113 update after changes in the HoTT library. Mostly some naming and notation changes 2016-09-23 17:16:25 -04:00
Floris van Doorn
a34606c64f small changes, remove old file 2016-09-23 17:12:46 -04:00
Floris van Doorn
5fbcbfe6e8 prove that the degree of composites is the product of the degrees 2016-09-17 00:02:22 -04:00
Floris van Doorn
fb55292c34 add move_to_lib: a file where we can put theorems which should be moved to files in the HoTT library 2016-09-16 20:23:05 -04:00
Floris van Doorn
d4508eee2f start on mapping spectra 2016-09-16 16:13:55 -04:00
Egbert Rijke
580298d2c7 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2016-09-16 02:04:08 -04:00
Egbert Rijke
392590bec8 working with Ulrik on basic group theory 2016-09-16 02:03:58 -04:00
Floris van Doorn
6fca83a2ed finish the construction of the LES for spectrum maps 2016-09-15 19:19:03 -04:00
Floris van Doorn
e7c3144dbd fill in sorry in spherical_fibrations 2016-09-15 18:05:58 -04:00
Floris van Doorn
683a515178 progress on LES of spectrum maps 2016-09-15 17:57:33 -04:00
Ulrik Buchholtz
f826a7a711 complete is_full_subgroup 2016-09-15 15:06:54 -04:00
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