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
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
Floris van Doorn
d814c472ab
add strunc file for truncatedness/truncations of spectra
2017-06-28 13:15:49 +01:00
Egbert Rijke
4974b2ea3d
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-28 13:13:13 +01:00
Floris van Doorn
635b10821f
temporarily disable proof, which caused error after redefinition of phomotopy
2017-06-28 11:08:41 +01:00
Egbert Rijke
36cd36a64c
making a start on the exactness of the derived couple
2017-06-19 13:40:52 -04:00
Floris van Doorn
cfdfa0f22a
Work on the fact that pointed dependent products preserve fibration sequences
...
We now define pointed homotopies as dependent pointed maps, and have some properties about pointed sigmas
2017-06-19 02:03:54 -04:00
Egbert Rijke
313754ee2b
completed definition of k prime
2017-06-16 17:06:04 -04:00
Egbert Rijke
a1e01456f1
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-16 15:41:15 -04:00
Egbert Rijke
17a5218b62
definition of j prime completed
2017-06-16 15:41:01 -04:00
Steve Awodey
89118f2a8e
Merge remote-tracking branch 'origin/new_lean' into new_lean
...
# Conflicts:
# algebra/exactness.hlean
# homotopy/pushout.hlean
# move_to_lib.hlean
2017-06-16 14:50:55 -04:00
Floris van Doorn
a2c4e0858d
clean up computation of fiber of postnikov tower
2017-06-15 17:49:48 -04:00
Floris van Doorn
0885a7ef4a
renamed pequiv.MK2 to pequiv.MK
2017-06-14 22:56:03 -04:00
Floris van Doorn
b6fa4e8716
compute fibers of postnikov tower
2017-06-14 22:56:03 -04:00
Floris van Doorn
da95ea0acb
remove uses of homomorphism_comp_compute
...
making group_fun an abbreviation makes this obsolete
2017-06-14 22:56:03 -04:00
5d57e60a43
Minor optimization.
2017-06-09 15:55:19 -06:00
a78c92636e
Add Hptorus.
2017-06-09 15:48:37 -06:00
Floris van Doorn
b8de7ffd80
work on functorial action of prespectrum homotopy groups
2017-06-09 17:42:10 -04:00
d057ddec51
Add Hpwedge.
2017-06-09 15:01:21 -06:00
