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246 commits

Author SHA1 Message Date
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
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
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
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
Floris van Doorn
d814c472ab add strunc file for truncatedness/truncations of spectra 2017-06-28 13:15:49 +01:00
Floris van Doorn
635b10821f temporarily disable proof, which caused error after redefinition of phomotopy 2017-06-28 11:08:41 +01:00
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
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
b8de7ffd80 work on functorial action of prespectrum homotopy groups 2017-06-09 17:42:10 -04:00
favonia
d057ddec51 Add Hpwedge. 2017-06-09 15:01:21 -06:00
Robert Rose
9cfc13d4cf naturality for wedge elimination 2017-06-09 16:51:13 -04:00
Yuri Sulyma
c8043a6f9f Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-09 12:24:58 -06:00
Yuri Sulyma
39883fd3ee A bit of code for incoherent homotopies between maps of spectra 2017-06-09 12:24:33 -06:00
favonia
0acc5c786d Add fwedge_down_left. 2017-06-09 11:55:59 -06:00
spiceghello
2e55a4a4ef fwedge_prespectrum 2017-06-09 11:51:04 -06:00
favonia
88dc53d113 Add the missing 'p'. 2017-06-09 11:22:52 -06:00
Floris van Doorn
61e3a9ce0e redefine homology to use smash with prespectra 2017-06-09 12:25:21 -04:00
favonia
f098063d96 More lemmas about fwedge. 2017-06-09 06:35:56 -06:00
Yuri Sulyma
5826288a48 composition/inverse for homotopies of pointed spaces and spectra 2017-06-08 20:07:46 -06:00
Yuri Sulyma
cf3dec8fb9 Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-08 20:01:47 -06:00
Yuri Sulyma
aa54adf770 Use psquare/phsquare in spectrum 2017-06-08 20:01:41 -06:00
spiceghello
b2ab29c3c3 on colim.elim o pinclusion, and corollary on spectra 2017-06-08 18:28:25 -06:00
Floris van Doorn
e4168439c0 work on homotopy group of prespectrum 2017-06-08 20:09:48 -04:00
favonia
4165f9a613 Add pwedge_pequiv and plift_pwedge. 2017-06-08 16:44:02 -06:00
spiceghello
a06ecd4523 part of spectrify_elim 2017-06-08 15:08:22 -06:00
Yuri Sulyma
3fd6e8e852 Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-08 14:04:58 -06:00
Yuri Sulyma
7f637206a0 Add a few spectrification things 2017-06-08 14:03:10 -06:00
Yuri Sulyma
ec852ca73f Merge branch 'master' of github.com:fpvandoorn/Spectral 2017-06-07 09:39:46 -06:00
Yuri Sulyma
abe46fd211 Functoriality of smashing a pointed space with a prespectrum 2017-06-07 09:39:26 -06:00
Floris van Doorn
3881982774 small changes to spectrum 2017-06-07 00:54:52 -04:00
Floris van Doorn
5e4c536d27 progress on spectrify 2017-06-06 17:07:22 -04:00
Yuri Sulyma
7125413a9a Renamed homology file + fixed a superfluous hypothesis in spectrify_map 2017-06-06 12:08:37 -06:00
favonia
76a0f5a683 Add plift_psusp. 2017-06-06 11:55:21 -06:00
Floris van Doorn
aef91cd344 fix error when compiling 2017-06-06 13:26:30 -04:00
Yuri Sulyma
3f62c7b500 Define a homology theory in hlean 2017-06-06 10:26:35 -06:00
Floris van Doorn
dc2c697885 fix error 2017-06-06 12:00:08 -04:00
spiceghello
56f7ea093e smash_prespectrum 2017-06-06 09:41:51 -06:00
Floris van Doorn
6ded2b94d7 give type to (pre)spectrum.mk 2017-06-06 00:43:11 -04:00
Floris van Doorn
6e6fad5cb2 fix error 2017-06-05 17:09:48 -04:00
Floris van Doorn
ed7de51d02 move basic lemmas from the spectral repository to the main repository 2017-06-02 12:15:31 -04:00
Floris van Doorn
c7fb842124 checkpoint EM 2017-06-01 10:57:15 -04:00
Floris van Doorn
9a3eed11bb move some stuff to more appropriate places (before big move to HoTT library) 2017-05-26 17:32:42 -04:00
Floris van Doorn
9ad673682d add stuff about Postnikov towers, EM-spaces and components 2017-05-26 05:17:02 -04:00
Floris van Doorn
6fbbc051e2 postnikov tower WIP 2017-05-25 22:51:11 -04:00
Floris van Doorn
a7b746c813 define parametrized cohomology 2017-05-24 08:27:06 -04:00
Floris van Doorn
73a34e9edf finish construction of exact couple from a sequence of spectrum maps 2017-05-21 00:39:53 -04:00
Floris van Doorn
cea1250ca6 Work on the construction of exact couples 2017-05-21 00:39:53 -04:00