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
98092df59c
various things about higher groups
2018-01-30 16:11:13 -05:00
Floris van Doorn
0949070096
Prove stabilization and work on equivalence of categories
2018-01-28 18:30:21 -05:00
Ulrik Buchholtz
9d91957303
connectivity of loop_susp_counit
2018-01-27 19:42:09 +01:00
Ulrik Buchholtz
8acdbf3f67
the wedge extension lemma actually works!
2018-01-27 19:01:42 +01:00
Ulrik Buchholtz
f1fe71b0a8
comparison of fibers between prod_of_wedge and loop_susp_counit
2018-01-27 10:56:01 +01:00
Ulrik Buchholtz
7a5bb0c2fe
alternative version of pushout flattening
2018-01-27 10:55:09 +01:00
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
4d39e86f27
Mostly formalize the pentagon of the smash product, fix the order of the arguments in the adjunction
2017-11-30 18:06:02 +01:00
Floris van Doorn
12a9345df1
Restructure spectral sequences, compute cohomology of projective space
...
This is still work in progress. Spectral sequences should be more usable, and probably the degrees of graded maps should be group homomorphisms so that we can reindex spectral sequences.
2017-11-22 16:14:07 -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
Floris van Doorn
b9c2145fab
add naturality of sigma's commuting with pushouts
2017-08-22 22:34:22 +01:00
Jeremy Avigad
6e2d8807f4
get everything to compile
2017-08-21 17:05:59 -04:00
Floris van Doorn
a001491183
various properties of pushout: commutation with sums and sigma's
2017-08-02 23:06:16 +01:00
Floris van Doorn
ee11b1cfb9
work of fiber of maps between EM-spaces
2017-08-02 23:06:16 +01:00
Ulrik Buchholtz
d0995af5b5
fix realprojective after sphere reindexing
2017-07-23 11:52:02 +02:00
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
a6d621c6f3
rename ppi_gen to ppi
2017-07-20 22:04:21 +01:00
Floris van Doorn
23780b0425
move naturality of loop-susp-adjunction to standard library
2017-07-20 18:55:51 +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
ead933e0a9
move spectrum files to separate directory
2017-07-17 15:54:05 +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
3f68115d25
move some files around, create folder cohomology
2017-07-17 13:58:36 +01:00
Floris van Doorn
e76f1db8ae
update README
2017-07-16 01:16:06 +01:00
Floris van Doorn
c98c9bb1e6
proof naturality of pointed funext. This finishes the proof of the Serre Spectral Sequence.
...
We use a different proof strategy for the naturality than pursued the last week.
We proof the unpointed version of the naturality by generalizing it from loops to paths so that we can apply path induction.
For the pointed version, we do some ugly calculations to cancel noncomputable applications of funext
2017-07-16 01:11:55 +01:00
Floris van Doorn
a4c4da36df
shorten proof of spi_compose_left
2017-07-13 17:26:39 +01:00
Floris van Doorn
5381aaa7bd
progress on the naturality of loop_pppi_pequiv
2017-07-08 22:45:29 +01:00
Floris van Doorn
5959ccf2af
comment out some print statements, fix broken definition
2017-07-08 15:49:30 +01:00
Floris van Doorn
0f24cda263
prove the other sorry's in cohomology
2017-07-08 15:40:48 +01:00
Egbert Rijke
e6b1c49f4a
moving some definitions to pointed_pi
2017-07-08 15:25:17 +01:00
Floris van Doorn
e92fb0a435
prove two of the sorry's in cohomology
2017-07-08 15:11:21 +01:00
Egbert Rijke
b027186436
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-08 14:49:40 +01:00
Egbert Rijke
1c51df13f2
further reductions to pointed_pi
2017-07-08 14:49:32 +01:00
Ulrik Buchholtz
eaaaa79fc7
update some headers
2017-07-08 13:39:23 +01:00
Ulrik Buchholtz
7a5b8a206d
do the integer arithmetic sorrys
2017-07-08 13:26:34 +01:00
Ulrik Buchholtz
1abb09b062
one sorry less: parametrized_cohomology_isomorphism_shomotopy_group_spi
2017-07-08 12:23:54 +01:00
Egbert Rijke
b8bb1ca67d
solving one subgoal, get another
2017-07-08 11:53:31 +01:00
Egbert Rijke
cce49435f6
removing errors and warnings
2017-07-08 11:43:41 +01:00
Egbert Rijke
6378a34fa6
minor stuff
2017-07-08 11:41:57 +01:00
Egbert Rijke
d00ad36f73
minor changes
2017-07-08 02:01:28 +01:00
Egbert Rijke
99449db85c
working of the last few subgoals
2017-07-08 01:40:27 +01:00
Floris van Doorn
9c271470ca
add sorry's to make library compile
2017-07-07 22:38:06 +01:00
Floris van Doorn
90f4acb3f6
fix definition of atiyah-hirzebruch spectral sequence, define serre spectral sequence
...
The construction of the Serre spectral sequence is done up to 11 sorry's, all which are marked with 'TODO FOR SSS'. 8 of them are equivalences related to cohomology (6 of which are corollaries of the other 2), 2 of them are calculations on int, and the last is in the definition of a spectrum map.
2017-07-07 22:35:30 +01:00
Steve Awodey
f6978927b2
working toward associativity of the wedge
2017-07-07 20:36:01 +01:00
Egbert Rijke
39526a821c
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-07-07 20:12:08 +01:00
Egbert Rijke
1e80e9f1d9
eq_of_shomotopy
2017-07-07 20:11:55 +01:00
