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46 commits

Author SHA1 Message Date
Floris van Doorn
4d3053daff Change the definition of graded morphisms 
Now we require them to be automorphisms which are equal to \g, g + d(0)
 2018-09-26 13:12:24 +02:00
Floris van Doorn
db8402e1af define deloopable types, define cup product 
The cup product on Eilenberg Maclane spaces is now defined, but no properties are proven yet
 2018-09-26 12:57:41 +02:00
Floris van Doorn
e019097fed update after changes in Lean 2018-09-20 16:03:59 +02:00
Floris van Doorn
da033c0f4c work on dependent smash and cup product on EM-spaces 
also many small fixes
 2018-09-20 02:08:45 +02:00
Floris van Doorn
68345f75ce move more and update after changes 2018-09-11 19:24:51 +02:00
Floris van Doorn
c3650048f0 fixes and additions 
add some properties about pointed maps and groups
 2018-09-10 18:04:28 +02:00
Floris van Doorn
e4db64ae9a fixes after changes in the library 2018-09-10 18:04:28 +02:00
Floris van Doorn
be0d5977f6 move to lib and older things 2018-08-19 13:52:20 +02:00
Floris van Doorn
bcb78b4575 minor additions 2018-03-24 16:57:24 -04:00
Floris van Doorn
fbad62541b higher groups: rename Grp to GType 2018-01-31 13:01:17 -05:00
Floris van Doorn
9914352e10 higher groups: prove equivalence of categories for 0-Grp 2018-01-31 12:32:20 -05:00
Floris van Doorn
3a09e743a2 fix error in EM 2018-01-23 12:47:29 -05:00
Floris van Doorn
743985e3d8 Work on pointed naturality of smash-C 2018-01-17 19:17:05 -05:00
Floris van Doorn
741e585ca0 fix homotopy.EM so that it compiles 
I'm not sure why we got 'excessive memory consumption' error messages before, but giving extra universe arguments solves the issue
 2017-09-15 19:03:14 -04:00
Jeremy Avigad
6e2d8807f4 get everything to compile 2017-08-21 17:05:59 -04:00
Floris van Doorn
ee11b1cfb9 work of fiber of maps between EM-spaces 2017-08-02 23:06:16 +01:00
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
a5c80f79c6 work a bit on Eilenberg-MacLane spaces 2017-07-20 18:02:58 +01:00
Floris van Doorn
6bbe5ef450 reorganize some files in the library. In particular, split up spectrum 2017-07-17 15:39:49 +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
Floris van Doorn
36cce7acda work on translation from reduced cohomology to unreduced cohomology 2017-07-04 12:57:46 +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
057980ca1f start on postnikov tower of spectra 2017-06-30 15:16:38 +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
6e6fad5cb2 fix error 2017-06-05 17:09:48 -04:00
Floris van Doorn
c7fb842124 checkpoint EM 2017-06-01 10:57:15 -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
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
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
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
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
9df0b25ae5 some additions to the smash product and direct sums 2016-11-14 14:44:29 -05:00
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
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
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