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
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
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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
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# 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
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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
