Floris van Doorn
179575794a
Prove basic properties of spectral sequences
...
Also separate exact_couple and spectral_sequence in separate files
2018-10-02 13:09:18 -04:00
Floris van Doorn
4481935a83
define spectral sequence from exact couple
...
this also defines the actual spectral sequences for the Atiyah-Hirzebruch and Serre spectral sequences.
We need to reindex convergent_exact_couple_sequence to get a spectral sequence with the correct abutment from it.
2018-10-01 09:41:16 -04:00
Floris van Doorn
96e11300ed
fix indexing of abutment in spectral sequences
2018-09-29 12:07:54 +02:00
Floris van Doorn
48cf8a5f31
typo in converging_spectral_sequence
2018-09-26 20:07:01 +02:00
Floris van Doorn
acae548d3a
some cleanup, and add a todo list
2018-09-26 19:53:23 +02:00
Floris van Doorn
f9ce395b1c
reindex the AHSS and SSS
...
Now the 2nd page is the correct indexing.
2018-09-26 13:12:33 +02:00
Floris van Doorn
4d3053daff
Change the definition of graded morphisms
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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
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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
da033c0f4c
work on dependent smash and cup product on EM-spaces
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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
ba5648fb87
start on construction of cup product of EM-spaces
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
d2c7eb2368
generalize the spectral sequence of a sequence of spectrum maps
2018-09-07 11:55:24 +02:00
Floris van Doorn
ec5b9dba12
more on decidable free group
2018-06-06 16:40:41 -04:00
Floris van Doorn
12f23c0dbe
the free group on a decidable set eliminates to any InfGroup
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Also develop more group theory for InfGroups
2018-03-25 16:51:23 -04:00
Floris van Doorn
aa191493e9
give alternative definition of free group on a set with decidable equality
2018-01-17 19:18:13 -05:00
Floris van Doorn
743985e3d8
Work on pointed naturality of smash-C
2018-01-17 19:17:05 -05:00
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
f8157068e4
derive the unparametrized serre spectral sequence
2017-09-15 20:40:42 -04:00
Jeremy Avigad
af30b19099
restore quotient_group.hlean
2017-09-07 15:22:04 -04:00
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
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
a6d621c6f3
rename ppi_gen to ppi
2017-07-20 22:04:21 +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
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
Ulrik Buchholtz
eaaaa79fc7
update some headers
2017-07-08 13:39:23 +01:00
Ulrik Buchholtz
bc43e079e0
getting closer ...
2017-07-08 12:22:54 +01:00
Floris van Doorn
73abecaa89
rename some files, update README
2017-07-04 16:11:21 +01:00
Floris van Doorn
7b3d1649fa
finish sufficient condition when infinity page of spectral sequence is contractible
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also refactor convergence a bit
2017-07-02 01:12:55 +01:00
Floris van Doorn
d23466396d
fix some errors
2017-07-01 20:00:40 +01:00
Floris van Doorn
057980ca1f
start on postnikov tower of spectra
2017-06-30 15:16:38 +01:00
Floris van Doorn
f8f0157df5
define ==> notation for convergence of spectral sequences
2017-06-30 13:55:39 +01:00
Floris van Doorn
00d02ecacf
add authors of mrc projects to files with major contributions
2017-06-30 13:55:39 +01:00
Steve Awodey
bf3a132e99
fixed
2017-06-30 13:21:49 +01:00
Steve Awodey
a209f4e085
trivial
2017-06-30 13:20:08 +01:00
Egbert Rijke
b419e9c8f7
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-28 14:05:43 +01:00
Floris van Doorn
d814c472ab
add strunc file for truncatedness/truncations of spectra
2017-06-28 13:15:49 +01:00
Egbert Rijke
4974b2ea3d
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-28 13:13:13 +01:00
Egbert Rijke
36cd36a64c
making a start on the exactness of the derived couple
2017-06-19 13:40:52 -04:00
Floris van Doorn
cfdfa0f22a
Work on the fact that pointed dependent products preserve fibration sequences
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We now define pointed homotopies as dependent pointed maps, and have some properties about pointed sigmas
2017-06-19 02:03:54 -04:00
Egbert Rijke
313754ee2b
completed definition of k prime
2017-06-16 17:06:04 -04:00
Egbert Rijke
a1e01456f1
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2017-06-16 15:41:15 -04:00
Egbert Rijke
17a5218b62
definition of j prime completed
2017-06-16 15:41:01 -04:00
Steve Awodey
89118f2a8e
Merge remote-tracking branch 'origin/new_lean' into new_lean
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# Conflicts:
# algebra/exactness.hlean
# homotopy/pushout.hlean
# move_to_lib.hlean
2017-06-16 14:50:55 -04:00
