Commit graph

76 commits

Author SHA1 Message Date
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
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
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
Steve Awodey
c814534104 First Isomorphism Theorem for AbGroups
with prelim.s
2016-12-08 16:20:14 -05:00
Egbert Rijke
8d586d587b finished some lemma 2016-12-08 14:16:40 -05:00
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
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
ead2fbbd58 do the loop-susp adjunction in pointed types 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
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