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
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also refactor convergence a bit
2017-07-02 01:12:55 +01:00
Floris van Doorn
f54011335d
define atiyah-hirzebruch exact couple
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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
Egbert Rijke
4033195ce3
simplified scompose
2017-07-01 15:15:29 +01:00
Egbert Rijke
c71e275dcd
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-01 14:47:17 +01:00
Egbert Rijke
958d7f72df
add ptd cubes
2017-07-01 14:47:06 +01:00
Egbert Rijke
8561c20aa6
redefine sid
2017-07-01 14:46:38 +01:00
Ulrik Buchholtz
9b895beeee
add simpler versions of is_trunc_ppi and is_strunc_spi
2017-07-01 14:26:49 +01:00
Egbert Rijke
aa1d1bd333
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-01 13:06:53 +01:00
Egbert Rijke
dffe842061
working on spectral equivalences
2017-07-01 13:06:47 +01:00
Ulrik Buchholtz
3cf424ef27
add is_strunc_spi
2017-07-01 13:02:23 +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
f8f0157df5
define ==> notation for convergence of spectral sequences
2017-06-30 13:55:39 +01:00
Floris van Doorn
0d48402927
add explanation of universal property of cofiber
2017-06-30 13:55:39 +01:00
Floris van Doorn
00d02ecacf
add authors of mrc projects to files with major contributions
2017-06-30 13:55:39 +01:00
Steve Awodey
bf3a132e99
fixed
2017-06-30 13:21:49 +01:00
Steve Awodey
a209f4e085
trivial
2017-06-30 13:20:08 +01:00
Ulrik Buchholtz
52dda63e4d
refactor strunc
2017-06-29 20:06:47 +01:00
Ulrik Buchholtz
79d13fd0d2
start map from spectrum to its truncation
2017-06-28 23:02:14 +01:00
Egbert Rijke
55b831d713
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-28 17:53:22 +01:00
Egbert Rijke
d3f42e5a3c
starting to think about equivalences of prespectra
2017-06-28 17:53:09 +01:00
Ulrik Buchholtz
9934c9c73d
trivial homotopy groups of truncated spectra
2017-06-28 17:19:23 +01:00
Egbert Rijke
2092e4a83b
resolve merge conflict
2017-06-28 15:53:27 +01:00
Egbert Rijke
f4e74687f9
conjecture about prespectrification
2017-06-28 15:49:46 +01:00
Ulrik Buchholtz
1c07806726
work on strunc
2017-06-28 15:22:45 +01:00
Egbert Rijke
b419e9c8f7
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-28 14:05:43 +01:00
