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
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
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
68345f75ce
move more and update after changes
2018-09-11 19:24:51 +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
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
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
...
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
