Floris van Doorn
12a9345df1
Restructure spectral sequences, compute cohomology of projective space
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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
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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
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* 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
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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
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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
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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
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
