Commit graph

519 commits

Author SHA1 Message Date
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
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