Commit graph

65 commits

Author SHA1 Message Date
Yuri Sulyma
5826288a48 composition/inverse for homotopies of pointed spaces and spectra 2017-06-08 20:07:46 -06:00
bc69a96faa Rename homomorphism_comp_compute. 2017-06-08 16:49:47 -06:00
Robert Rose
85c0ae53a6 Merge branch 'master' of https://github.com/fpvandoorn/Spectral 2017-06-08 18:22:41 -04:00
Robert Rose
8b97339ffa seq_colim universal property 2017-06-08 18:17:23 -04:00
Yuri Sulyma
3fd6e8e852 Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-08 14:04:58 -06:00
Yuri Sulyma
a3146d0d2a Fix bug 2017-06-08 14:03:29 -06:00
610aa351b8 Add interchange. 2017-06-07 12:03:13 -06:00
Yuri Sulyma
ec852ca73f Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-07 09:39:46 -06:00
Yuri Sulyma
abe46fd211 Functoriality of smashing a pointed space with a prespectrum 2017-06-07 09:39:26 -06:00
a292dba89f Merge two group namespaces. 2017-06-06 17:18:10 -06:00
7940bf0cd6 Add pmap.eta. 2017-06-06 16:58:34 -06:00
e2a12f7db7 Make A in isomorphism_ap implicit. 2017-06-06 12:34:13 -06:00
d014e50cd7 Add isomorphism_ap. 2017-06-06 12:33:22 -06:00
Floris van Doorn
ed7de51d02 move basic lemmas from the spectral repository to the main repository 2017-06-02 12:15:31 -04:00
Floris van Doorn
9a3eed11bb move some stuff to more appropriate places (before big move to HoTT library) 2017-05-26 17:32:42 -04:00
Floris van Doorn
9ad673682d add stuff about Postnikov towers, EM-spaces and components 2017-05-26 05:17:02 -04:00
Floris van Doorn
6fbbc051e2 postnikov tower WIP 2017-05-25 22:51:11 -04:00
Floris van Doorn
a7b746c813 define parametrized cohomology 2017-05-24 08:27:06 -04:00
Floris van Doorn
798a57e546 construct the derived couple for graded modules 2017-05-22 21:27:34 -04:00
Floris van Doorn
73a34e9edf finish construction of exact couple from a sequence of spectrum maps 2017-05-21 00:39:53 -04:00
Floris van Doorn
61ad085373 construct bounded exact couple from sequence of spectrum maps (there are still some holes in the proof) 2017-05-21 00:39:53 -04:00
Floris van Doorn
2c2fefd644 continue on exact couples, simplify definition of bounded exact couple 2017-05-21 00:39:53 -04:00
Floris van Doorn
cea1250ca6 Work on the construction of exact couples 2017-05-21 00:39:53 -04:00
Floris van Doorn
daedc1dc48 continue convergence theorem 2017-05-03 23:41:24 -04:00
Floris van Doorn
43f9edf82b start on convergence theorem 2017-05-03 23:41:19 -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
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
Floris van Doorn
91931ca338 generalize is_exact 2017-03-30 17:05:32 -04:00
Floris van Doorn
3cd846a757 checkpoint, smash susp 2017-03-30 17:05:32 -04:00
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
b9ed007161 Remove some old files 2017-03-07 22:55:51 -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
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
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
c0b7740f13 order of arguments in group.mk has changed 2017-02-02 17:16:14 -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
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
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
Steve Awodey
c814534104 First Isomorphism Theorem for AbGroups
with prelim.s
2016-12-08 16:20:14 -05:00