Floris van Doorn
90f4acb3f6
fix definition of atiyah-hirzebruch spectral sequence, define serre spectral sequence
...
The construction of the Serre spectral sequence is done up to 11 sorry's, all which are marked with 'TODO FOR SSS'. 8 of them are equivalences related to cohomology (6 of which are corollaries of the other 2), 2 of them are calculations on int, and the last is in the definition of a spectrum map.
2017-07-07 22:35:30 +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
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
Yuri Sulyma
3fd6e8e852
Merge branch 'master' of github.com:fpvandoorn/Spectral
2017-06-08 14:04:58 -06:00
Floris van Doorn
6e6fad5cb2
fix error
2017-06-05 17:09:48 -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
91931ca338
generalize is_exact
2017-03-30 17:05:32 -04:00
Floris van Doorn
773e9f9a2e
susp and other things
2017-03-30 17:00:15 -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
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
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
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
0a15d184b2
cohomology: define cohomology as abelian groups and define the functorial action
2016-10-13 15:49:17 -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
Floris van Doorn
b45e20d0cc
feat(cohomology): start on cohomology file
2016-09-09 16:43:09 -04:00
