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
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
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
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
0f24cda263
prove the other sorry's in cohomology
2017-07-08 15:40:48 +01:00
Floris van Doorn
e92fb0a435
prove two of the sorry's in cohomology
2017-07-08 15:11:21 +01:00
Floris van Doorn
90f4acb3f6
fix definition of atiyah-hirzebruch spectral sequence, define serre spectral sequence
...
The construction of the Serre spectral sequence is done up to 11 sorry's, all which are marked with 'TODO FOR SSS'. 8 of them are equivalences related to cohomology (6 of which are corollaries of the other 2), 2 of them are calculations on int, and the last is in the definition of a spectrum map.
2017-07-07 22:35:30 +01:00
Floris van Doorn
e24865d48b
compute fiber of postnikov_smap
2017-07-05 20:59:38 +01:00
Floris van Doorn
36cce7acda
work on translation from reduced cohomology to unreduced cohomology
2017-07-04 12:57:46 +01:00
Floris van Doorn
63ec1b8d37
progress on atiyah-hirzebruch and serre spectral sequences
...
Note: the Serre spectral sequence only works for unreduced cohomology, so we need some results for that
For reduced homology we might get a similar result if we replace the sigma in the RHS by a dependent version of the smash product
2017-07-02 01:14:18 +01:00
Floris van Doorn
f54011335d
define atiyah-hirzebruch exact couple
...
this commit also defines str and strunc_elim
proving that the exact couple is bounded, and that it converges to the right this is still todo
2017-07-01 20:02:31 +01:00
Floris van Doorn
4ba4929cd7
simplify definition of loop_ptrunc_maxm2_pequiv
2017-06-30 15:29:52 +01:00
Floris van Doorn
dce2832ead
redefine maxm2 in strunc
2017-06-30 15:16:53 +01:00
Floris van Doorn
057980ca1f
start on postnikov tower of spectra
2017-06-30 15:16:38 +01:00
Floris van Doorn
d814c472ab
add strunc file for truncatedness/truncations of spectra
2017-06-28 13:15:49 +01:00
Floris van Doorn
b8de7ffd80
work on functorial action of prespectrum homotopy groups
2017-06-09 17:42:10 -04:00
spiceghello
a06ecd4523
part of spectrify_elim
2017-06-08 15:08:22 -06:00
spiceghello
db6fccc971
pmap_eta
2017-06-08 15:08:22 -06:00
Floris van Doorn
ed7de51d02
move basic lemmas from the spectral repository to the main repository
2017-06-02 12:15:31 -04:00
Floris van Doorn
9a3eed11bb
move some stuff to more appropriate places (before big move to HoTT library)
2017-05-26 17:32:42 -04:00
Floris van Doorn
73a34e9edf
finish construction of exact couple from a sequence of spectrum maps
2017-05-21 00:39:53 -04:00
Floris van Doorn
91931ca338
generalize is_exact
2017-03-30 17:05:32 -04:00
Floris van Doorn
3cd846a757
checkpoint, smash susp
2017-03-30 17:05:32 -04:00
Floris van Doorn
773e9f9a2e
susp and other things
2017-03-30 17:00:15 -04:00
Floris van Doorn
b781de8473
simplify smash proof
2017-03-30 17:00:15 -04:00
Floris van Doorn
9cf51e98cd
start on notes
2017-03-30 17:00:15 -04:00
Floris van Doorn
47532e4315
Prove the naturality of the smash-pmap adjunction, and hence of the associativity of the smash product
2017-03-07 22:40:24 -05:00
