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
Floris van Doorn
37fbe56b8c
Finish construction of the LES of homotopy groups without signs
...
The maps on every level are just the functorial action of the homotopy groups (possibly composed by a cast), but there are no compositions with path inversion.
There are also some updates in various files after changes in the HoTT library.
2016-04-07 17:28:19 -04:00
Mike Shulman
a6bf82618f
feat(homotopy/spectrum): sections of parametrized spectra
2016-03-25 09:33:36 -07:00
