Commit graph

501 commits

Author SHA1 Message Date
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
spiceghello
3813b17479 Write notes with a mostly-complete proof that the smash product forms a 1-coherent symmetric monoidal category 2017-11-30 18:06:02 +01:00
Floris van Doorn
d4ab6e15ef small changes in colimit 2017-11-30 18:06:02 +01:00
Floris van Doorn
91c21e9d92 add readme for colimit 2017-11-24 19:38:54 -05:00
Floris van Doorn
899e3cf2e4 prove that iota is n-truncated/n-connected if the maps in the sequence are 2017-11-24 19:37:49 -05:00
Floris van Doorn
1a35543661 minor changes in colimit 2017-11-22 20:15:46 -05:00
Floris van Doorn
cca1279f45 remove colim file from Spectral 2017-11-22 16:30:58 -05:00
Floris van Doorn
03cacd2dc1 move colimit project here 2017-11-22 16:15:35 -05:00
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
ee4c9f989a we don't need to assume that the map is pointed 2017-09-20 22:13:57 -04:00
Floris van Doorn
b31658c2f3 construct serre spectral sequence for any map 2017-09-20 22:00:58 -04:00
Floris van Doorn
f8157068e4 derive the unparametrized serre spectral sequence 2017-09-15 20:40:42 -04:00
Floris van Doorn
ceee305a60 remove spaces at end of lines 2017-09-15 19:04:10 -04:00
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
Jonas Frey
f89edc5403 * cleaned up univalent_subcategory.hlean
* removed duplicates from move_to_lib.hlean
2017-09-14 16:22:12 -04:00
Jonas Frey
593efa1bf2 some cleanup univalent_subcategory.hlean 2017-09-14 16:22:12 -04:00
Jonas Frey
d8350ad125 add file containing proof about univalent subcategories and that AbGrp is univalent 2017-09-14 16:22:12 -04:00
Jeremy Avigad
af30b19099 restore quotient_group.hlean 2017-09-07 15:22:04 -04:00
Floris van Doorn
dc327487f6 start on higher groups file
It now contains the basic notions and most of the constructions, but not much properties/proofs
2017-09-05 22:28:55 -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
Jeremy Avigad
345c45e07c revise quotient_group 2017-08-17 17:07:10 -04:00
Jeremy Avigad
1cb3e5c658 change terminology set -> property 2017-08-17 17:07:10 -04:00
Jeremy Avigad
c74779959a base subgroups on sets and unbundle 2017-08-17 17:07:10 -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
4d7963d226 update README. Add small projects, which anyone could work on 2017-07-17 16:09:09 +01:00
Floris van Doorn
5e27ef6c3e remove incoherent homotopies, we should use families of pointed homotopies instead.
Also improve performance a bit
2017-07-17 16:00:16 +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
2745c17498 add some info to known_bugs 2017-07-17 14:15:11 +01:00
Floris van Doorn
1eec8e65dc merge the two lessons files 2017-07-17 14:11:21 +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
Ulrik Buchholtz
10be0d610a work on pppi_sigma_char_natural 2017-07-14 00:20:06 +01:00
Floris van Doorn
a4c4da36df shorten proof of spi_compose_left 2017-07-13 17:26:39 +01:00
Floris van Doorn
df54ac858e finish functoriality of ppi_compose_left 2017-07-13 16:19:44 +01:00
Floris van Doorn
37d9761596 work on functoriality of ppi_compose_left
Also redefine ppi_eq_equiv so that it computes on reflexivity
2017-07-12 10:18:07 +01:00
Floris van Doorn
969906d480 complete psigma_gen_functor_psquare 2017-07-11 15:19:08 +01:00
Floris van Doorn
83f7761d31 work on naturality squares 2017-07-11 14:21:05 +01:00
Floris van Doorn
5381aaa7bd progress on the naturality of loop_pppi_pequiv 2017-07-08 22:45:29 +01:00
Egbert Rijke
5ac3ce7058 Merge branch 'master' of https://github.com/cmu-phil/Spectral 2017-07-08 18:20:55 +01:00
Egbert Rijke
e769f5362e lemmas in the pointed pi file 2017-07-08 18:20:43 +01:00