Commit graph

28 commits

Author SHA1 Message Date
Floris van Doorn
9a693f1ee3 define pmap in terms of ppi. Also move many facts about ppi to the standard library 2017-07-21 15:55:27 +01:00
Floris van Doorn
3367c20f9d make pointed suspension and spheres the default
There is one proof in realprojective which I couldn't quite fix, so for now I left a sorry
2017-07-20 18:03:13 +01:00
Floris van Doorn
635b10821f temporarily disable proof, which caused error after redefinition of phomotopy 2017-06-28 11:08:41 +01:00
Floris van Doorn
0885a7ef4a renamed pequiv.MK2 to pequiv.MK 2017-06-14 22:56:03 -04:00
Floris van Doorn
61e3a9ce0e redefine homology to use smash with prespectra 2017-06-09 12:25:21 -04:00
Floris van Doorn
3881982774 small changes to spectrum 2017-06-07 00:54:52 -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
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
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
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
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
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
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
7f6752e14f Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories 2017-01-14 21:05:34 +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
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