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
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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
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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
Floris van Doorn
78512444e8
prove that the cohomology of an Eilenberg-MacLane spectrum satisfies the dimension axiom
2017-02-18 19:01:24 -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
c0b7740f13
order of arguments in group.mk has changed
2017-02-02 17:16:14 -05:00
