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
Floris van Doorn
79dea677e8
colimit, start on encode-decode proof
2016-10-13 16:01:59 -04:00
