Floris van Doorn
1eec8e65dc
merge the two lessons files
2017-07-17 14:11:21 +01:00
Floris van Doorn
3f68115d25
move some files around, create folder cohomology
2017-07-17 13:58:36 +01:00
Floris van Doorn
e76f1db8ae
update README
2017-07-16 01:16:06 +01:00
Floris van Doorn
c98c9bb1e6
proof naturality of pointed funext. This finishes the proof of the Serre Spectral Sequence.
...
We use a different proof strategy for the naturality than pursued the last week.
We proof the unpointed version of the naturality by generalizing it from loops to paths so that we can apply path induction.
For the pointed version, we do some ugly calculations to cancel noncomputable applications of funext
2017-07-16 01:11:55 +01:00
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
