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
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
