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153 commits

Author SHA1 Message Date
Egbert Rijke
44d32281fb trying to show that quotient groups of logically equivalent subgroups are isomorphic 2017-04-27 18:07:58 -04:00
Steve Awodey
cefdc8f4e7 exact couple still 2017-04-27 18:07:30 -04:00
Steve Awodey
6e13cb9dad small changes 2017-04-27 17:09:20 -04:00
Floris van Doorn
987f9f41ed finish definition of j' 2017-04-21 18:00:27 -04:00
Floris van Doorn
bb209af2e8 continue with derived couple of graded R-modules, almost finish defining the maps 2017-04-20 22:58:33 -04:00
Steve Awodey
c313d33b03 working on it 2017-04-20 16:18:18 -04:00
Egbert Rijke
fd5d774e55 is_embedding_ab_subgroup_of_subgroup_incl 2017-04-20 15:45:00 -04:00
Egbert Rijke
07d775563b ab_subgroup_of_subgroup_incl 2017-04-20 14:59:55 -04:00
Floris van Doorn
ec376b407e move stuff about subgroups to subgroup 2017-04-20 14:42:54 -04:00
Egbert Rijke
89d9bd10b6 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-04-20 14:30:34 -04:00
Egbert Rijke
05c5952526 changes 2017-04-20 14:30:29 -04:00
Floris van Doorn
aefc8eccc1 define submodules, quotient modules and homology of module morphisms 2017-04-13 20:39:04 -04:00
Floris van Doorn
93126a9c2b checkpoint, submodules 2017-04-13 14:54:48 -04:00
Floris van Doorn
d828120216 checkpoint, additive homs 2017-04-13 14:51:43 -04:00
Floris van Doorn
5bb2c7859d checkpoint for direct sum of graded modules 2017-04-10 20:34:49 -04:00
Steve Awodey
200885ad21 started on derived couple 2017-04-07 15:05:10 -04:00
Egbert Rijke
f76e665dd3 resolve merge conflict 2017-04-07 13:25:54 -04:00
Egbert Rijke
024f8f740e stuff 2017-04-07 13:14:51 -04:00
Floris van Doorn
dc2b905a7c rename module to left_module 2017-03-30 18:33:33 -04:00
Floris van Doorn
20a044b2e4 finish categorical structure of graded modules 2017-03-30 18:27:09 -04:00
Floris van Doorn
f96c92b72d start on graded R-modules 2017-03-30 17:05:32 -04:00
Floris van Doorn
91931ca338 generalize is_exact 2017-03-30 17:05:32 -04:00
Jeremy Avigad
c0a301e141 fix left module namespace 2017-03-30 15:43:54 -04:00
Jeremy Avigad
4fd9c00755 the short five lemma 2017-03-10 11:51:37 -05:00
Jeremy Avigad
41bc4b6673 chain complexes of modules 2017-03-10 11:51:24 -05:00
Jeremy Avigad
153c8499af add module homomorphisms and miscellany 2017-03-10 11:50:44 -05:00
Egbert Rijke
4c713e921d stuff 2017-03-09 16:16:43 -05:00
Floris van Doorn
47532e4315 Prove the naturality of the smash-pmap adjunction, and hence of the associativity of the smash product 2017-03-07 22:40:24 -05:00
Floris van Doorn
f013c631d0 Finish the naturality of the smash-pmap adjunction 2017-03-03 17:43:03 -05:00
Floris van Doorn
ad43cd56f0 Work on the cofiber sequence and basic properties of cohomology theories 2017-03-03 17:42:38 -05:00
Egbert Rijke
661bd961e9 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-03-02 17:11:26 -05:00
Egbert Rijke
7e8f183133 quotient_extend_unique_SES 2017-03-02 17:11:06 -05:00
Jeremy Avigad
e7c174719b fix typo 2017-03-02 17:08:00 -05:00
Jeremy Avigad
89d65b1dca add is_short_exact.hlean 2017-03-02 17:06:13 -05:00
Floris van Doorn
78512444e8 prove that the cohomology of an Eilenberg-MacLane spectrum satisfies the dimension axiom 2017-02-18 19:01:24 -05:00
Floris van Doorn
81fe7df61f fix definition of spectrum cohomology, and prove that spectrum cohomology forms a cohomology theory 2017-02-18 16:56:50 -05:00
Egbert Rijke
3bd66e60a4 separate ses from exact_couple 2017-02-16 23:00:55 -05:00
Egbert Rijke
159ea323ab SES_hom extension lemma 2017-02-16 22:26:06 -05:00
Steve Awodey
2aaea21e2a tiny change 2017-02-16 21:10:44 -05:00
Steve Awodey
92a4b95302 abgrpkernelquotientstuff 2017-02-10 12:07:48 -05:00
Egbert Rijke
e3f1d64330 useless commit 2017-02-08 12:26:23 -05:00
Floris van Doorn
c0b7740f13 order of arguments in group.mk has changed 2017-02-02 17:16:14 -05:00
Egbert Rijke
cde8333151 short exact sequences 2017-01-26 17:44:37 -05:00
Egbert Rijke
2d995b0347 short exact sequences 2017-01-26 17:44:22 -05:00
Egbert Rijke
e59f0adedf Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-01-26 16:59:18 -05:00
Steve Awodey
010d211b96 help 2017-01-26 16:59:02 -05:00
Egbert Rijke
701c77ba6f Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-01-26 16:56:01 -05:00
Egbert Rijke
af70424d60 work on SES 2017-01-26 16:55:59 -05:00
Steve Awodey
b4bdf3a77e image group 2017-01-26 16:55:07 -05:00
Steve Awodey
271459d533 image of a surjection is the codomain 2017-01-26 16:44:49 -05:00
Steve Awodey
c09f568992 trivial 2017-01-26 14:58:24 -05:00
Floris van Doorn
00e01fd2a6 feat(homotopy): prove adjunction between smash product and pointed maps 
also develop library for equality reasoning on pointed homotopies.
Also do the renamings like homomorphism -> is_mul_hom
 2017-01-18 23:19:06 +01:00
Floris van Doorn
7f6752e14f Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories 2017-01-14 21:05:34 +01:00
Steve Awodey
c814534104 First Isomorphism Theorem for AbGroups 
with prelim.s
 2016-12-08 16:20:14 -05:00
Egbert Rijke
8d586d587b finished some lemma 2016-12-08 14:16:40 -05:00
Egbert Rijke
4ea75446ba noethers homomorphism theorem 2016-12-02 14:05:20 -05:00
Steve Awodey
bffab663bb messy quotient groups 
wip
 2016-12-01 16:34:01 -05:00
Egbert Rijke
d3cba4b95d simplifty the trivial subgroup 2016-12-01 15:43:05 -05:00
Egbert Rijke
de641aac71 fix 2016-12-01 14:41:36 -05:00
Egbert Rijke
c0a6e581e6 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2016-12-01 14:39:23 -05:00
Egbert Rijke
652ef70739 some work, I guess 2016-12-01 14:39:10 -05:00
Floris van Doorn
b08457c77f move things to the Lean library, and update after changes in the Lean library 2016-11-24 00:11:55 -05:00
Floris van Doorn
8e366e08c3 Finish the universal property of the direct sum 2016-11-23 23:54:32 -05:00
Steve Awodey
6be1b46d5e WIP first group isomorphism them 2016-11-17 16:25:14 -05:00
Floris van Doorn
9df0b25ae5 some additions to the smash product and direct sums 2016-11-14 14:44:29 -05:00
Steve Awodey
e87c235e24 WIP on exact couple and basic group theory 2016-11-10 16:49:09 -05:00
Steve Awodey
e4c5d34d10 wip 
wip
 2016-11-10 16:25:34 -05:00
Egbert Rijke
f0d595205c Merge branch 'master' of https://github.com/cmu-phil/Spectral 2016-11-10 16:25:11 -05:00
Egbert Rijke
ec6c4d8339 image_incl_eq_one 2016-11-10 16:25:00 -05:00
Steve Awodey
1fcb41a4e7 wip 
quotient homomorphism
 2016-11-10 15:40:41 -05:00
Egbert Rijke
c7ccd0d43b comm_gq_map 2016-11-10 15:40:12 -05:00
Egbert Rijke
7ab6eafc3c image of an abelian group is abelian 2016-11-03 23:30:44 -04:00
Egbert Rijke
699531a74c Merge branch 'master' of https://github.com/cmu-phil/Spectral 2016-11-03 16:42:22 -04:00
Egbert Rijke
81e6c07f23 progress on derived exact couples 2016-11-03 16:42:12 -04:00
Floris van Doorn
704717e9ae minor changes 2016-11-03 15:34:06 -04:00
Steve Awodey
627b2acfe3 finished UMP of the quotient 2016-11-03 15:12:53 -04:00
Egbert Rijke
b57eadc56a image of a boundary is subgroup of the kernel 2016-10-27 15:52:47 -04:00
Egbert Rijke
1b09aee650 initiating exact couples 2016-10-20 16:23:55 -04:00
Floris van Doorn
29bf3bdd8e clean-up in imports/opens of the files in the algebra folder 2016-10-13 16:02:04 -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
d8c694e113 update after changes in the HoTT library. Mostly some naming and notation changes 2016-09-23 17:16:25 -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
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
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
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
Egbert Rijke
4524af4ddc image of homomorphism is subgroup 2016-05-12 16:57:33 -04:00