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
e769f5362e
lemmas in the pointed pi file
2017-07-08 18:20:43 +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
Ulrik Buchholtz
ad8b52cd59
simplify ppi_loop_equiv
2017-07-08 12:22:54 +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
9d39f7771f
redefine is_trunc_ppi and is_trunc_spi with unbundled families
2017-07-05 20:59:38 +01:00
Egbert Rijke
997d75cbf3
no errors hopefully
2017-07-05 15:51:52 +01:00
Egbert Rijke
28b4559a0f
induction on ~~*
2017-07-05 14:56:03 +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
Ulrik Buchholtz
9b895beeee
add simpler versions of is_trunc_ppi and is_strunc_spi
2017-07-01 14:26:49 +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
cfdfa0f22a
Work on the fact that pointed dependent products preserve fibration sequences
...
We now define pointed homotopies as dependent pointed maps, and have some properties about pointed sigmas
2017-06-19 02:03:54 -04:00
Floris van Doorn
a7b746c813
define parametrized cohomology
2017-05-24 08:27:06 -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
Floris van Doorn
81fe7df61f
fix definition of spectrum cohomology, and prove that spectrum cohomology forms a cohomology theory
2017-02-18 16:56:50 -05:00
Floris van Doorn
b08457c77f
move things to the Lean library, and update after changes in the Lean library
2016-11-24 00:11:55 -05:00
Ulrik Buchholtz
25ae0e9dce
truncation level of pointed maps given connectivity of domain and truncation level of codomain
2016-11-06 11:01:14 +01:00
