Ulrik Buchholtz
d0995af5b5
fix realprojective after sphere reindexing
2017-07-23 11:52:02 +02:00
Floris van Doorn
9a693f1ee3
define pmap in terms of ppi. Also move many facts about ppi to the standard library
2017-07-21 15:55:27 +01:00
Floris van Doorn
a6d621c6f3
rename ppi_gen to ppi
2017-07-20 22:04:21 +01:00
Floris van Doorn
23780b0425
move naturality of loop-susp-adjunction to standard library
2017-07-20 18:55:51 +01:00
Floris van Doorn
3367c20f9d
make pointed suspension and spheres the default
...
There is one proof in realprojective which I couldn't quite fix, so for now I left a sorry
2017-07-20 18:03:13 +01:00
Floris van Doorn
a5c80f79c6
work a bit on Eilenberg-MacLane spaces
2017-07-20 18:02:58 +01:00
Floris van Doorn
ead933e0a9
move spectrum files to separate directory
2017-07-17 15:54:05 +01:00
Floris van Doorn
6bbe5ef450
reorganize some files in the library. In particular, split up spectrum
2017-07-17 15:39:49 +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
Floris van Doorn
a4c4da36df
shorten proof of spi_compose_left
2017-07-13 17:26:39 +01:00
Floris van Doorn
5381aaa7bd
progress on the naturality of loop_pppi_pequiv
2017-07-08 22:45:29 +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
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
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
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
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
dd18b3a72a
squares with two constant maps
2017-07-01 15:39:25 +01:00
