Ulrik Buchholtz
10be0d610a
work on pppi_sigma_char_natural
2017-07-14 00:20:06 +01:00
Floris van Doorn
a4c4da36df
shorten proof of spi_compose_left
2017-07-13 17:26:39 +01:00
Floris van Doorn
df54ac858e
finish functoriality of ppi_compose_left
2017-07-13 16:19:44 +01:00
Floris van Doorn
37d9761596
work on functoriality of ppi_compose_left
...
Also redefine ppi_eq_equiv so that it computes on reflexivity
2017-07-12 10:18:07 +01:00
Floris van Doorn
969906d480
complete psigma_gen_functor_psquare
2017-07-11 15:19:08 +01:00
Floris van Doorn
83f7761d31
work on naturality squares
2017-07-11 14:21:05 +01:00
Floris van Doorn
5381aaa7bd
progress on the naturality of loop_pppi_pequiv
2017-07-08 22:45:29 +01:00
Egbert Rijke
5ac3ce7058
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-08 18:20:55 +01:00
Egbert Rijke
e769f5362e
lemmas in the pointed pi file
2017-07-08 18:20:43 +01:00
Floris van Doorn
5959ccf2af
comment out some print statements, fix broken definition
2017-07-08 15:49:30 +01:00
Floris van Doorn
0f24cda263
prove the other sorry's in cohomology
2017-07-08 15:40:48 +01:00
Egbert Rijke
e6b1c49f4a
moving some definitions to pointed_pi
2017-07-08 15:25:17 +01:00
Floris van Doorn
e92fb0a435
prove two of the sorry's in cohomology
2017-07-08 15:11:21 +01:00
Egbert Rijke
b027186436
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-08 14:49:40 +01:00
Egbert Rijke
1c51df13f2
further reductions to pointed_pi
2017-07-08 14:49:32 +01:00
Ulrik Buchholtz
eaaaa79fc7
update some headers
2017-07-08 13:39:23 +01:00
Ulrik Buchholtz
7a5b8a206d
do the integer arithmetic sorrys
2017-07-08 13:26:34 +01:00
Ulrik Buchholtz
1abb09b062
one sorry less: parametrized_cohomology_isomorphism_shomotopy_group_spi
2017-07-08 12:23:54 +01:00
Ulrik Buchholtz
bc43e079e0
getting closer ...
2017-07-08 12:22:54 +01:00
Ulrik Buchholtz
ad8b52cd59
simplify ppi_loop_equiv
2017-07-08 12:22:54 +01:00
Ulrik Buchholtz
9ee02cfad5
typo in README
2017-07-08 12:22:54 +01:00
Ulrik Buchholtz
bb3995c573
isomorphism of truncations of h-groups
2017-07-08 12:22:54 +01:00
Egbert Rijke
b8bb1ca67d
solving one subgoal, get another
2017-07-08 11:53:31 +01:00
Egbert Rijke
cce49435f6
removing errors and warnings
2017-07-08 11:43:41 +01:00
Egbert Rijke
6378a34fa6
minor stuff
2017-07-08 11:41:57 +01:00
Egbert Rijke
d00ad36f73
minor changes
2017-07-08 02:01:28 +01:00
Egbert Rijke
99449db85c
working of the last few subgoals
2017-07-08 01:40:27 +01:00
Floris van Doorn
9c271470ca
add sorry's to make library compile
2017-07-07 22:38:06 +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
Steve Awodey
f6978927b2
working toward associativity of the wedge
2017-07-07 20:36:01 +01:00
Egbert Rijke
39526a821c
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-07 20:12:08 +01:00
Egbert Rijke
1e80e9f1d9
eq_of_shomotopy
2017-07-07 20:11:55 +01:00
Egbert Rijke
877bcd889e
eq_of_shomotopy
2017-07-07 20:11:47 +01:00
Floris van Doorn
e24865d48b
compute fiber of postnikov_smap
2017-07-05 20:59:38 +01:00
Floris van Doorn
9d39f7771f
redefine is_trunc_ppi and is_trunc_spi with unbundled families
2017-07-05 20:59:38 +01:00
Egbert Rijke
58b007c873
reorganizing the prespectrification section
2017-07-05 17:26:31 +01:00
Egbert Rijke
997d75cbf3
no errors hopefully
2017-07-05 15:51:52 +01:00
Egbert Rijke
28b4559a0f
induction on ~~*
2017-07-05 14:56:03 +01:00
Egbert Rijke
4559ee6218
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-04 21:11:32 +01:00
Egbert Rijke
1b9990a424
still working towards isretr
2017-07-04 21:11:20 +01:00
Floris van Doorn
d33502cf5f
add reference in README
2017-07-04 17:14:28 +01:00
Floris van Doorn
fa9af80739
more updates in README
2017-07-04 16:20:09 +01:00
Floris van Doorn
73abecaa89
rename some files, update README
2017-07-04 16:11:21 +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
7b3d1649fa
finish sufficient condition when infinity page of spectral sequence is contractible
...
also refactor convergence a bit
2017-07-02 01:12:55 +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
d23466396d
fix some errors
2017-07-01 20:00:40 +01:00
Egbert Rijke
9d562c1e5d
working on the left inverse of a spectral equivalence
2017-07-01 17:13:29 +01:00
