Commit graph

184 commits

Author SHA1 Message Date
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
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
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
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
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
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
Ulrik Buchholtz
a7ec040f57 work on degrees 2017-04-29 14:05:39 +02:00
Ulrik Buchholtz
cb45181a13 remove unused definition from realprojective 2017-04-28 11:26:21 +02:00
Floris van Doorn
91931ca338 generalize is_exact 2017-03-30 17:05:32 -04:00
Floris van Doorn
3cd846a757 checkpoint, smash susp 2017-03-30 17:05:32 -04:00
Floris van Doorn
773e9f9a2e susp and other things 2017-03-30 17:00:15 -04:00
Floris van Doorn
b781de8473 simplify smash proof 2017-03-30 17:00:15 -04:00
Floris van Doorn
9cf51e98cd start on notes 2017-03-30 17:00:15 -04:00
Floris van Doorn
b9ed007161 Remove some old files 2017-03-07 22:55:51 -05:00
Floris van Doorn
47532e4315 Prove the naturality of the smash-pmap adjunction, and hence of the associativity of the smash product 2017-03-07 22:40:24 -05:00
Floris van Doorn
f013c631d0 Finish the naturality of the smash-pmap adjunction 2017-03-03 17:43:03 -05:00
Floris van Doorn
013ca8d5f2 make progress on naturality of smash-pmap adjunction
The only fact left to be proven is a property (which is an equality of phomotopies) of the functorial action of the smash product
2017-03-03 17:43:03 -05:00
Floris van Doorn
ad43cd56f0 Work on the cofiber sequence and basic properties of cohomology theories 2017-03-03 17:42:38 -05:00
Floris van Doorn
78512444e8 prove that the cohomology of an Eilenberg-MacLane spectrum satisfies the dimension axiom 2017-02-18 19:01:24 -05:00
Floris van Doorn
81fe7df61f fix definition of spectrum cohomology, and prove that spectrum cohomology forms a cohomology theory 2017-02-18 16:56:50 -05:00
Floris van Doorn
c0b7740f13 order of arguments in group.mk has changed 2017-02-02 17:16:14 -05:00
Floris van Doorn
d6de922d1f give last step of associativity of smash
there are still unproven lemma's
2017-02-02 17:16:01 -05:00
Floris van Doorn
216a25af4f fix typo 2017-02-02 17:15:46 -05:00
Floris van Doorn
00e01fd2a6 feat(homotopy): prove adjunction between smash product and pointed maps
also develop library for equality reasoning on pointed homotopies.
Also do the renamings like homomorphism -> is_mul_hom
2017-01-18 23:19:06 +01:00
Floris van Doorn
b2bfc978bf continue on associativity of smash, and add some properties about the wedge sum 2017-01-14 21:08:00 +01:00
Floris van Doorn
802eec812f Prove some basic properties about the smash product, and start on its associativity 2017-01-14 21:07:36 +01:00
Floris van Doorn
b7f53b90d7 more on pushouts, interaction with sums, and induction principle for certain cofibers
latter part ported from Agda
2017-01-14 21:07:36 +01:00
Floris van Doorn
cb3fac2fb3 start on torus = S^1 x S^1 2017-01-14 21:07:36 +01:00
Floris van Doorn
db72ff0a66 more pushout lemmas, continue with smash of the circle 2017-01-14 21:07:36 +01:00
Floris van Doorn
372ca7297c finish proof that smash is the cofiber of the map from the wedge to the product 2017-01-14 21:07:36 +01:00
Floris van Doorn
6594be4292 prove some lemmas about pushouts, and start on the formulation of the 3x3 lemma 2017-01-14 21:06:17 +01:00
Floris van Doorn
7f6752e14f Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories 2017-01-14 21:05:34 +01:00
Ulrik Buchholtz
43f5112c86 move realprojective over from K-Theory repo 2017-01-10 10:50:24 +01:00
Floris van Doorn
b08457c77f move things to the Lean library, and update after changes in the Lean library 2016-11-24 00:11:55 -05:00
Floris van Doorn
4f1db25e16 Work on the uniqueness of Eilenberg-Maclane spaces 2016-11-23 23:54:32 -05:00
Floris van Doorn
c96f3d18f2 Work on the smash product 2016-11-23 23:53:26 -05:00
Floris van Doorn
9df0b25ae5 some additions to the smash product and direct sums 2016-11-14 14:44:29 -05:00
Floris van Doorn
704717e9ae minor changes 2016-11-03 15:34:06 -04:00
Floris van Doorn
79dea677e8 colimit, start on encode-decode proof 2016-10-13 16:01:59 -04:00
Floris van Doorn
a31c15e384 continue on spectrification 2016-10-13 16:01:54 -04:00
Floris van Doorn
946506af5c define smash without any 2-paths and work on smashing with the circle 2016-10-13 15:49:47 -04:00
Floris van Doorn
b3765932d9 work on spectrification 2016-10-13 15:49:47 -04:00
Floris van Doorn
0a15d184b2 cohomology: define cohomology as abelian groups and define the functorial action 2016-10-13 15:49:17 -04:00
Floris van Doorn
258671578d EM: add functorial action and equivalence of 1-Type*[0] and Group
n-Type*[k] is new notation for n-truncated k-connected pointed types. All 'subnotations' are also defined
2016-09-23 17:16:48 -04:00
Floris van Doorn
d8c694e113 update after changes in the HoTT library. Mostly some naming and notation changes 2016-09-23 17:16:25 -04:00
Floris van Doorn
a34606c64f small changes, remove old file 2016-09-23 17:12:46 -04:00
Floris van Doorn
5fbcbfe6e8 prove that the degree of composites is the product of the degrees 2016-09-17 00:02:22 -04:00
Floris van Doorn
fb55292c34 add move_to_lib: a file where we can put theorems which should be moved to files in the HoTT library 2016-09-16 20:23:05 -04:00
Floris van Doorn
d4508eee2f start on mapping spectra 2016-09-16 16:13:55 -04:00
Floris van Doorn
6fca83a2ed finish the construction of the LES for spectrum maps 2016-09-15 19:19:03 -04:00
Floris van Doorn
e7c3144dbd fill in sorry in spherical_fibrations 2016-09-15 18:05:58 -04:00
Floris van Doorn
683a515178 progress on LES of spectrum maps 2016-09-15 17:57:33 -04:00
Floris van Doorn
6cec5dcdaa fix definition of homotopy group of spectrum, continue of LES of spectra 2016-09-14 18:46:53 -04:00
Floris van Doorn
9d00ea2f6f feat(spectrum): start on the LES of homotopy groups for spectra 2016-09-09 16:45:44 -04:00
Floris van Doorn
c9af080cc2 feat(splice): prove a lemma on how to splice chain complexes together 2016-09-09 16:43:39 -04:00
Floris van Doorn
b45e20d0cc feat(cohomology): start on cohomology file 2016-09-09 16:43:09 -04:00
Floris van Doorn
78492bbe09 feat(EM): Work on uniqueness of K(G,n)'s 2016-09-01 14:08:42 -04:00
Floris van Doorn
dc2a26745e move results to HoTT library, and start on uniqueness of K(G, n) for n>1 2016-06-26 09:26:13 +01:00
Floris van Doorn
21c6e8f7e5 small changes after changes in HoTT library 2016-06-26 09:26:13 +01:00
Floris van Doorn
9f5d7bda9f more stuff 2016-04-26 17:33:17 -04:00
Floris van Doorn
62c134df4e whitehead corollaries 2016-04-26 16:07:15 -04:00
Floris van Doorn
ba7b25d00f move files to the HoTT library and update after changes in the HoTT library 2016-04-25 19:51:17 -04:00
Floris van Doorn
0af9c0ecc7 prove is_equiv_π_of_is_connected for functions where the domain and codomain live in different universes 2016-04-14 17:15:03 -04:00
Floris van Doorn
7d7ddaff9f give the LES of a fibration sequence 2016-04-13 12:20:22 -04:00
Floris van Doorn
2de92db5b6 some cleanup 2016-04-12 17:59:15 -04:00
Floris van Doorn
a716ef2108 applications: prove almost completely that S^3 and S^2 have the same high enough homotopy groups
There is one missing fact, which is that the equivalence between S^1 and the fiber of the hopf fibration respects the basepoint
2016-04-11 23:17:10 -04:00
Floris van Doorn
9a476fecfe sec86: finish proof of stability of spheres as groups 2016-04-11 15:55:28 -04:00
Floris van Doorn
0f9433c921 Rename some files, use the new LES file for the application file. 2016-04-07 17:28:33 -04:00