Commit graph

70 commits

Author SHA1 Message Date
Egbert Rijke
58b007c873 reorganizing the prespectrification section 2017-07-05 17:26:31 +01:00
Floris van Doorn
36cce7acda work on translation from reduced cohomology to unreduced cohomology 2017-07-04 12:57:46 +01:00
Floris van Doorn
a34a639e80 dependent spectrum over X_+ 2017-07-03 13:37:02 +01:00
Floris van Doorn
63ec1b8d37 progress on atiyah-hirzebruch and serre spectral sequences
Note: the Serre spectral sequence only works for unreduced cohomology, so we need some results for that
For reduced homology we might get a similar result if we replace the sigma in the RHS by a dependent version of the smash product
2017-07-02 01:14:18 +01:00
Floris van Doorn
d23466396d fix some errors 2017-07-01 20:00:40 +01:00
Egbert Rijke
eed538eb8f simplify shomotopy 2017-07-01 16:23:50 +01:00
Egbert Rijke
ed2ff9f113 simplify szero 2017-07-01 15:42:49 +01:00
Egbert Rijke
4033195ce3 simplified scompose 2017-07-01 15:15:29 +01:00
Egbert Rijke
8561c20aa6 redefine sid 2017-07-01 14:46:38 +01:00
Egbert Rijke
aa1d1bd333 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-07-01 13:06:53 +01:00
Egbert Rijke
dffe842061 working on spectral equivalences 2017-07-01 13:06:47 +01:00
Floris van Doorn
00d02ecacf add authors of mrc projects to files with major contributions 2017-06-30 13:55:39 +01:00
Egbert Rijke
d3f42e5a3c starting to think about equivalences of prespectra 2017-06-28 17:53:09 +01:00
Egbert Rijke
2092e4a83b resolve merge conflict 2017-06-28 15:53:27 +01:00
Egbert Rijke
f4e74687f9 conjecture about prespectrification 2017-06-28 15:49:46 +01:00
Ulrik Buchholtz
1c07806726 work on strunc 2017-06-28 15:22:45 +01:00
Floris van Doorn
d814c472ab add strunc file for truncatedness/truncations of spectra 2017-06-28 13:15:49 +01:00
Floris van Doorn
0885a7ef4a renamed pequiv.MK2 to pequiv.MK 2017-06-14 22:56:03 -04:00
Floris van Doorn
b8de7ffd80 work on functorial action of prespectrum homotopy groups 2017-06-09 17:42:10 -04:00
Yuri Sulyma
c8043a6f9f Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-09 12:24:58 -06:00
Yuri Sulyma
39883fd3ee A bit of code for incoherent homotopies between maps of spectra 2017-06-09 12:24:33 -06:00
spiceghello
2e55a4a4ef fwedge_prespectrum 2017-06-09 11:51:04 -06:00
Floris van Doorn
61e3a9ce0e redefine homology to use smash with prespectra 2017-06-09 12:25:21 -04:00
Yuri Sulyma
5826288a48 composition/inverse for homotopies of pointed spaces and spectra 2017-06-08 20:07:46 -06:00
Yuri Sulyma
cf3dec8fb9 Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-08 20:01:47 -06:00
Yuri Sulyma
aa54adf770 Use psquare/phsquare in spectrum 2017-06-08 20:01:41 -06:00
spiceghello
b2ab29c3c3 on colim.elim o pinclusion, and corollary on spectra 2017-06-08 18:28:25 -06:00
Floris van Doorn
e4168439c0 work on homotopy group of prespectrum 2017-06-08 20:09:48 -04:00
spiceghello
a06ecd4523 part of spectrify_elim 2017-06-08 15:08:22 -06:00
Yuri Sulyma
3fd6e8e852 Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-08 14:04:58 -06:00
Yuri Sulyma
7f637206a0 Add a few spectrification things 2017-06-08 14:03:10 -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
Floris van Doorn
3881982774 small changes to spectrum 2017-06-07 00:54:52 -04:00
Floris van Doorn
5e4c536d27 progress on spectrify 2017-06-06 17:07:22 -04:00
Yuri Sulyma
7125413a9a Renamed homology file + fixed a superfluous hypothesis in spectrify_map 2017-06-06 12:08:37 -06:00
Floris van Doorn
aef91cd344 fix error when compiling 2017-06-06 13:26:30 -04:00
Floris van Doorn
dc2c697885 fix error 2017-06-06 12:00:08 -04:00
spiceghello
56f7ea093e smash_prespectrum 2017-06-06 09:41:51 -06:00
Floris van Doorn
6ded2b94d7 give type to (pre)spectrum.mk 2017-06-06 00:43:11 -04:00
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
a7b746c813 define parametrized cohomology 2017-05-24 08:27:06 -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
cea1250ca6 Work on the construction of exact couples 2017-05-21 00:39:53 -04:00
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
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
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
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
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