Floris van Doorn
bcb78b4575
minor additions
2018-03-24 16:57:24 -04:00
Floris van Doorn
fbad62541b
higher groups: rename Grp to GType
2018-01-31 13:01:17 -05:00
Floris van Doorn
9914352e10
higher groups: prove equivalence of categories for 0-Grp
2018-01-31 12:32:20 -05:00
Floris van Doorn
3a09e743a2
fix error in EM
2018-01-23 12:47:29 -05:00
Floris van Doorn
743985e3d8
Work on pointed naturality of smash-C
2018-01-17 19:17:05 -05:00
Floris van Doorn
741e585ca0
fix homotopy.EM so that it compiles
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I'm not sure why we got 'excessive memory consumption' error messages before, but giving extra universe arguments solves the issue
2017-09-15 19:03:14 -04:00
Jeremy Avigad
6e2d8807f4
get everything to compile
2017-08-21 17:05:59 -04:00
Floris van Doorn
ee11b1cfb9
work of fiber of maps between EM-spaces
2017-08-02 23:06:16 +01:00
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
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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
a5c80f79c6
work a bit on Eilenberg-MacLane spaces
2017-07-20 18:02:58 +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
9d39f7771f
redefine is_trunc_ppi and is_trunc_spi with unbundled families
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
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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
057980ca1f
start on postnikov tower of spectra
2017-06-30 15:16:38 +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
b6fa4e8716
compute fibers of postnikov tower
2017-06-14 22:56:03 -04:00
Floris van Doorn
6e6fad5cb2
fix error
2017-06-05 17:09:48 -04:00
Floris van Doorn
c7fb842124
checkpoint EM
2017-06-01 10:57:15 -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
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
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
216a25af4f
fix typo
2017-02-02 17:15:46 -05:00
Floris van Doorn
00e01fd2a6
feat(homotopy): prove adjunction between smash product and pointed maps
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also develop library for equality reasoning on pointed homotopies.
Also do the renamings like homomorphism -> is_mul_hom
2017-01-18 23:19:06 +01:00
Floris van Doorn
7f6752e14f
Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories
2017-01-14 21:05:34 +01:00
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
Floris van Doorn
4f1db25e16
Work on the uniqueness of Eilenberg-Maclane spaces
2016-11-23 23:54:32 -05:00
Floris van Doorn
9df0b25ae5
some additions to the smash product and direct sums
2016-11-14 14:44:29 -05:00
Floris van Doorn
258671578d
EM: add functorial action and equivalence of 1-Type*[0] and Group
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n-Type*[k] is new notation for n-truncated k-connected pointed types. All 'subnotations' are also defined
2016-09-23 17:16:48 -04:00
Floris van Doorn
d8c694e113
update after changes in the HoTT library. Mostly some naming and notation changes
2016-09-23 17:16:25 -04:00
Floris van Doorn
78492bbe09
feat(EM): Work on uniqueness of K(G,n)'s
2016-09-01 14:08:42 -04:00
Floris van Doorn
dc2a26745e
move results to HoTT library, and start on uniqueness of K(G, n) for n>1
2016-06-26 09:26:13 +01:00
Floris van Doorn
9f5d7bda9f
more stuff
2016-04-26 17:33:17 -04:00
Floris van Doorn
62c134df4e
whitehead corollaries
2016-04-26 16:07:15 -04:00
