Steve Awodey
f6978927b2
working toward associativity of the wedge
2017-07-07 20:36:01 +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
Ulrik Buchholtz
3cf424ef27
add is_strunc_spi
2017-07-01 13:02:23 +01:00
Floris van Doorn
f8f0157df5
define ==> notation for convergence of spectral sequences
2017-06-30 13:55:39 +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
a2c4e0858d
clean up computation of fiber of postnikov tower
2017-06-15 17:49:48 -04:00
Floris van Doorn
0885a7ef4a
renamed pequiv.MK2 to pequiv.MK
2017-06-14 22:56:03 -04:00
Floris van Doorn
b8de7ffd80
work on functorial action of prespectrum homotopy groups
2017-06-09 17:42:10 -04:00
Yuri Sulyma
5826288a48
composition/inverse for homotopies of pointed spaces and spectra
2017-06-08 20:07:46 -06:00
bc69a96faa
Rename homomorphism_comp_compute.
2017-06-08 16:49:47 -06:00
Robert Rose
85c0ae53a6
Merge branch 'master' of https://github.com/fpvandoorn/Spectral
2017-06-08 18:22:41 -04:00
Robert Rose
8b97339ffa
seq_colim universal property
2017-06-08 18:17:23 -04:00
Yuri Sulyma
3fd6e8e852
Merge branch 'master' of github.com:fpvandoorn/Spectral
2017-06-08 14:04:58 -06:00
Yuri Sulyma
a3146d0d2a
Fix bug
2017-06-08 14:03:29 -06:00
610aa351b8
Add interchange.
2017-06-07 12:03:13 -06:00
Yuri Sulyma
ec852ca73f
Merge branch 'master' of github.com:fpvandoorn/Spectral
2017-06-07 09:39:46 -06:00
Yuri Sulyma
abe46fd211
Functoriality of smashing a pointed space with a prespectrum
2017-06-07 09:39:26 -06:00
a292dba89f
Merge two group namespaces.
2017-06-06 17:18:10 -06:00
7940bf0cd6
Add pmap.eta.
2017-06-06 16:58:34 -06:00
e2a12f7db7
Make A in isomorphism_ap implicit.
2017-06-06 12:34:13 -06:00
d014e50cd7
Add isomorphism_ap.
2017-06-06 12:33:22 -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
9ad673682d
add stuff about Postnikov towers, EM-spaces and components
2017-05-26 05:17:02 -04:00
Floris van Doorn
6fbbc051e2
postnikov tower WIP
2017-05-25 22:51:11 -04:00
Floris van Doorn
a7b746c813
define parametrized cohomology
2017-05-24 08:27:06 -04:00
Floris van Doorn
798a57e546
construct the derived couple for graded modules
2017-05-22 21:27:34 -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
61ad085373
construct bounded exact couple from sequence of spectrum maps (there are still some holes in the proof)
2017-05-21 00:39:53 -04:00
Floris van Doorn
2c2fefd644
continue on exact couples, simplify definition of bounded exact couple
2017-05-21 00:39:53 -04:00
Floris van Doorn
cea1250ca6
Work on the construction of exact couples
2017-05-21 00:39:53 -04:00
Floris van Doorn
daedc1dc48
continue convergence theorem
2017-05-03 23:41:24 -04:00
Floris van Doorn
43f9edf82b
start on convergence theorem
2017-05-03 23:41:19 -04:00
Floris van Doorn
bb209af2e8
continue with derived couple of graded R-modules, almost finish defining the maps
2017-04-20 22:58:33 -04:00
Floris van Doorn
aefc8eccc1
define submodules, quotient modules and homology of module morphisms
2017-04-13 20:39:04 -04:00
Floris van Doorn
93126a9c2b
checkpoint, submodules
2017-04-13 14:54:48 -04:00
Floris van Doorn
d828120216
checkpoint, additive homs
2017-04-13 14:51:43 -04:00
Floris van Doorn
5bb2c7859d
checkpoint for direct sum of graded modules
2017-04-10 20:34:49 -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
Jeremy Avigad
153c8499af
add module homomorphisms and miscellany
2017-03-10 11:50:44 -05:00
Egbert Rijke
4c713e921d
stuff
2017-03-09 16:16:43 -05:00
Floris van Doorn
b9ed007161
Remove some old files
2017-03-07 22:55:51 -05:00
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
f013c631d0
Finish the naturality of the smash-pmap adjunction
2017-03-03 17:43:03 -05:00
Floris van Doorn
013ca8d5f2
make progress on naturality of smash-pmap adjunction
...
The only fact left to be proven is a property (which is an equality of phomotopies) of the functorial action of the smash product
2017-03-03 17:43:03 -05:00
Floris van Doorn
ad43cd56f0
Work on the cofiber sequence and basic properties of cohomology theories
2017-03-03 17:42:38 -05:00
