Commit graph

578 commits

Author SHA1 Message Date
Floris van Doorn
02f5c54b77 cleanup, expand explanation 2018-11-13 19:36:35 -05:00
Floris van Doorn
2913de520d finish proving that the gysin sequence consists of the correct groups 2018-11-13 19:22:07 -05:00
Floris van Doorn
ea402f56ea finish first part of constructing gysin sequence
We have a long exact sequence, we still need to show that it consists of the correct groups
2018-11-12 18:07:05 -05:00
Floris van Doorn
b251465e72 continue on gysin sequence 2018-11-12 13:02:20 -05:00
Floris van Doorn
af447f4f8e start on gysin sequence 2018-11-12 13:02:20 -05:00
Floris van Doorn
94066a6ba8 some more algebra 2018-11-12 13:02:20 -05:00
Floris van Doorn
5c9927ce2d fix universe level for has_choice 2018-11-12 13:02:20 -05:00
Floris van Doorn
eb8601dc93 prove some properties about is_built_from
One property in this commit which we will use is the resulting short exact sequence if you have only two nontrivial subgroups.
2018-11-12 13:02:20 -05:00
Floris van Doorn
266e37d9ed prove some properties about first quadrant spectral sequences where the degree of d is as usual 2018-11-12 13:02:20 -05:00
Ulrik Buchholtz
0c4baacfcc fix free_abelian_group and direct_sum 2018-11-02 13:39:40 +01:00
Ulrik Buchholtz
2f16008700 no longer working on truncatedness of suspensions of pointed sets (: - still some clean-up to do 2018-10-26 16:51:42 +02:00
Ulrik Buchholtz
4313f3f642 working on truncatedness of suspensions of sets 2018-10-24 17:07:35 +02:00
Ulrik Buchholtz
8f998637b5 factor free group on set via free group on pointed set 2018-10-23 13:30:26 +02:00
Floris van Doorn
32512bf47d compute unreduced cohomology of spheres 2018-10-03 19:39:34 -04:00
Floris van Doorn
c19192fbe5 fix error with numerals in integers 2018-10-03 19:39:34 -04:00
Floris van Doorn
138fef02fa update README/usage 2018-10-03 13:42:09 -04:00
Floris van Doorn
3b25ec0266 update README 2018-10-02 15:37:46 -04:00
Floris van Doorn
627deba24b smash.tex: small changes, add some preliminary references 2018-10-02 13:10:41 -04:00
Floris van Doorn
075f12efe2 WIP smash.tex 2018-10-02 13:10:41 -04:00
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
8937371b33 put exit in projective space file
it was broken after reindexing spectral sequences
2018-09-26 13:17:57 +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
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
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
e019097fed update after changes in Lean 2018-09-20 16:03:59 +02:00
Floris van Doorn
da033c0f4c work on dependent smash and cup product on EM-spaces
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
f7e0ce0e20 add file on binary pointed maps 2018-09-10 18:04:28 +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
c3650048f0 fixes and additions
add some properties about pointed maps and groups
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
0dd7ec3c29 add missing file 2018-09-10 18:04:28 +02:00
spiceghello
f835dc896e fix typos 2018-09-07 11:56:49 +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
fffc3cd03a fix after moving stuff to library
also cleanup spectrum.basic a little
2018-09-05 22:56:40 +02:00
Floris van Doorn
e1d2392a13 move more stuff 2018-09-04 11:54:26 +02:00
Floris van Doorn
be0d5977f6 move to lib and older things 2018-08-19 13:52:20 +02:00
Floris van Doorn
ec5b9dba12 more on decidable free group 2018-06-06 16:40:41 -04:00
spiceghello
dd14277e0b additions on pentagons with interchange 2018-04-03 19:56:43 -04:00
Floris van Doorn
12f23c0dbe the free group on a decidable set eliminates to any InfGroup
Also develop more group theory for InfGroups
2018-03-25 16:51:23 -04:00
Floris van Doorn
9b624edb9f fix indexing for homotopy group of presprectrum 2018-03-24 17:08:41 -04:00
Floris van Doorn
bcb78b4575 minor additions 2018-03-24 16:57:24 -04:00
Floris van Doorn
cf25666beb higher groups: add is_trunc_ppi_of_is_conn 2018-02-01 00:10:58 -05:00
Floris van Doorn
2f957b7828 higher groups: finalize file 2018-01-31 21:39:01 -05:00
Floris van Doorn
e34fba2027 change title in README 2018-01-31 13:21:42 -05:00
Floris van Doorn
fbad62541b higher groups: rename Grp to GType 2018-01-31 13:01:17 -05:00