Commit graph

22 commits

Author SHA1 Message Date
Floris van Doorn
e92fb0a435 prove two of the sorry's in cohomology 2017-07-08 15:11:21 +01:00
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
e24865d48b compute fiber of postnikov_smap 2017-07-05 20:59:38 +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
Floris van Doorn
f54011335d define atiyah-hirzebruch exact couple
this commit also defines str and strunc_elim
proving that the exact couple is bounded, and that it converges to the right this is still todo
2017-07-01 20:02:31 +01:00
Floris van Doorn
4ba4929cd7 simplify definition of loop_ptrunc_maxm2_pequiv 2017-06-30 15:29:52 +01:00
Floris van Doorn
dce2832ead redefine maxm2 in strunc 2017-06-30 15:16:53 +01:00
Floris van Doorn
057980ca1f start on postnikov tower of spectra 2017-06-30 15:16:38 +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
b8de7ffd80 work on functorial action of prespectrum homotopy groups 2017-06-09 17:42:10 -04:00
spiceghello
a06ecd4523 part of spectrify_elim 2017-06-08 15:08:22 -06:00
spiceghello
db6fccc971 pmap_eta 2017-06-08 15:08:22 -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
73a34e9edf finish construction of exact couple from a sequence of spectrum maps 2017-05-21 00:39:53 -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
Floris van Doorn
773e9f9a2e susp and other things 2017-03-30 17:00:15 -04:00
Floris van Doorn
b781de8473 simplify smash proof 2017-03-30 17:00:15 -04:00
Floris van Doorn
9cf51e98cd start on notes 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