Commit graph

342 commits

Author SHA1 Message Date
Floris van Doorn
f013c631d0 Finish the naturality of the smash-pmap adjunction 2017-03-03 17:43:03 -05:00
Floris van Doorn
013ca8d5f2 make progress on naturality of smash-pmap adjunction
The only fact left to be proven is a property (which is an equality of phomotopies) of the functorial action of the smash product
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
Floris van Doorn
3a63635fd2 WIP: coinductive colimit definition 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
Floris van Doorn
d6de922d1f give last step of associativity of smash
there are still unproven lemma's
2017-02-02 17:16:01 -05:00
Floris van Doorn
216a25af4f fix typo 2017-02-02 17:15:46 -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
b2bfc978bf continue on associativity of smash, and add some properties about the wedge sum 2017-01-14 21:08:00 +01:00
Floris van Doorn
802eec812f Prove some basic properties about the smash product, and start on its associativity 2017-01-14 21:07:36 +01:00
Floris van Doorn
b7f53b90d7 more on pushouts, interaction with sums, and induction principle for certain cofibers
latter part ported from Agda
2017-01-14 21:07:36 +01:00
Floris van Doorn
cb3fac2fb3 start on torus = S^1 x S^1 2017-01-14 21:07:36 +01:00
Floris van Doorn
db72ff0a66 more pushout lemmas, continue with smash of the circle 2017-01-14 21:07:36 +01:00
Floris van Doorn
372ca7297c finish proof that smash is the cofiber of the map from the wedge to the product 2017-01-14 21:07:36 +01:00
Floris van Doorn
6594be4292 prove some lemmas about pushouts, and start on the formulation of the 3x3 lemma 2017-01-14 21:06:17 +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
Ulrik Buchholtz
43f5112c86 move realprojective over from K-Theory repo 2017-01-10 10:50:24 +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
4f1db25e16 Work on the uniqueness of Eilenberg-Maclane spaces 2016-11-23 23:54:32 -05:00
Floris van Doorn
8e366e08c3 Finish the universal property of the direct sum 2016-11-23 23:54:32 -05:00
Floris van Doorn
c96f3d18f2 Work on the smash product 2016-11-23 23:53:26 -05:00
Steve Awodey
6be1b46d5e WIP first group isomorphism them 2016-11-17 16:25:14 -05:00