Floris van Doorn
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f54011335d
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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
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2017-07-01 20:02:31 +01:00 |
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Ulrik Buchholtz
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3cf424ef27
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add is_strunc_spi
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2017-07-01 13:02:23 +01:00 |
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Floris van Doorn
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f8f0157df5
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define ==> notation for convergence of spectral sequences
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2017-06-30 13:55:39 +01:00 |
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Floris van Doorn
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cfdfa0f22a
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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
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2017-06-19 02:03:54 -04:00 |
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Floris van Doorn
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a2c4e0858d
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clean up computation of fiber of postnikov tower
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2017-06-15 17:49:48 -04:00 |
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Floris van Doorn
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0885a7ef4a
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renamed pequiv.MK2 to pequiv.MK
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2017-06-14 22:56:03 -04:00 |
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Floris van Doorn
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b8de7ffd80
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work on functorial action of prespectrum homotopy groups
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2017-06-09 17:42:10 -04:00 |
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Yuri Sulyma
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5826288a48
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composition/inverse for homotopies of pointed spaces and spectra
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2017-06-08 20:07:46 -06:00 |
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bc69a96faa
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Rename homomorphism_comp_compute.
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2017-06-08 16:49:47 -06:00 |
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Robert Rose
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85c0ae53a6
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Merge branch 'master' of https://github.com/fpvandoorn/Spectral
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2017-06-08 18:22:41 -04:00 |
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Robert Rose
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8b97339ffa
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seq_colim universal property
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2017-06-08 18:17:23 -04:00 |
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Yuri Sulyma
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3fd6e8e852
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Merge branch 'master' of github.com:fpvandoorn/Spectral
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2017-06-08 14:04:58 -06:00 |
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Yuri Sulyma
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a3146d0d2a
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Fix bug
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2017-06-08 14:03:29 -06:00 |
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610aa351b8
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Add interchange.
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2017-06-07 12:03:13 -06:00 |
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Yuri Sulyma
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ec852ca73f
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Merge branch 'master' of github.com:fpvandoorn/Spectral
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2017-06-07 09:39:46 -06:00 |
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Yuri Sulyma
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abe46fd211
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Functoriality of smashing a pointed space with a prespectrum
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2017-06-07 09:39:26 -06:00 |
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a292dba89f
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Merge two group namespaces.
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2017-06-06 17:18:10 -06:00 |
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7940bf0cd6
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Add pmap.eta.
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2017-06-06 16:58:34 -06:00 |
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e2a12f7db7
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Make A in isomorphism_ap implicit.
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2017-06-06 12:34:13 -06:00 |
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d014e50cd7
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Add isomorphism_ap.
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2017-06-06 12:33:22 -06:00 |
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Floris van Doorn
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ed7de51d02
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move basic lemmas from the spectral repository to the main repository
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2017-06-02 12:15:31 -04:00 |
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Floris van Doorn
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9a3eed11bb
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move some stuff to more appropriate places (before big move to HoTT library)
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2017-05-26 17:32:42 -04:00 |
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Floris van Doorn
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9ad673682d
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add stuff about Postnikov towers, EM-spaces and components
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2017-05-26 05:17:02 -04:00 |
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Floris van Doorn
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6fbbc051e2
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postnikov tower WIP
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2017-05-25 22:51:11 -04:00 |
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Floris van Doorn
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a7b746c813
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define parametrized cohomology
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2017-05-24 08:27:06 -04:00 |
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Floris van Doorn
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798a57e546
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construct the derived couple for graded modules
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2017-05-22 21:27:34 -04:00 |
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Floris van Doorn
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73a34e9edf
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finish construction of exact couple from a sequence of spectrum maps
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2017-05-21 00:39:53 -04:00 |
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Floris van Doorn
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61ad085373
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construct bounded exact couple from sequence of spectrum maps (there are still some holes in the proof)
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2017-05-21 00:39:53 -04:00 |
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Floris van Doorn
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2c2fefd644
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continue on exact couples, simplify definition of bounded exact couple
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2017-05-21 00:39:53 -04:00 |
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Floris van Doorn
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cea1250ca6
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Work on the construction of exact couples
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2017-05-21 00:39:53 -04:00 |
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Floris van Doorn
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daedc1dc48
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continue convergence theorem
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2017-05-03 23:41:24 -04:00 |
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Floris van Doorn
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43f9edf82b
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start on convergence theorem
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2017-05-03 23:41:19 -04:00 |
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Floris van Doorn
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bb209af2e8
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continue with derived couple of graded R-modules, almost finish defining the maps
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2017-04-20 22:58:33 -04:00 |
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Floris van Doorn
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aefc8eccc1
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define submodules, quotient modules and homology of module morphisms
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2017-04-13 20:39:04 -04:00 |
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Floris van Doorn
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93126a9c2b
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checkpoint, submodules
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2017-04-13 14:54:48 -04:00 |
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Floris van Doorn
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d828120216
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checkpoint, additive homs
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2017-04-13 14:51:43 -04:00 |
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Floris van Doorn
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5bb2c7859d
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checkpoint for direct sum of graded modules
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2017-04-10 20:34:49 -04:00 |
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Floris van Doorn
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91931ca338
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generalize is_exact
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2017-03-30 17:05:32 -04:00 |
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Floris van Doorn
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3cd846a757
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checkpoint, smash susp
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2017-03-30 17:05:32 -04:00 |
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Jeremy Avigad
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153c8499af
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add module homomorphisms and miscellany
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2017-03-10 11:50:44 -05:00 |
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Egbert Rijke
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4c713e921d
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stuff
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2017-03-09 16:16:43 -05:00 |
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Floris van Doorn
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b9ed007161
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Remove some old files
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2017-03-07 22:55:51 -05:00 |
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Floris van Doorn
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47532e4315
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Prove the naturality of the smash-pmap adjunction, and hence of the associativity of the smash product
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2017-03-07 22:40:24 -05:00 |
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Floris van Doorn
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f013c631d0
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Finish the naturality of the smash-pmap adjunction
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2017-03-03 17:43:03 -05:00 |
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Floris van Doorn
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013ca8d5f2
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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
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2017-03-03 17:43:03 -05:00 |
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Floris van Doorn
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ad43cd56f0
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Work on the cofiber sequence and basic properties of cohomology theories
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2017-03-03 17:42:38 -05:00 |
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Floris van Doorn
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78512444e8
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prove that the cohomology of an Eilenberg-MacLane spectrum satisfies the dimension axiom
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2017-02-18 19:01:24 -05:00 |
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Floris van Doorn
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81fe7df61f
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fix definition of spectrum cohomology, and prove that spectrum cohomology forms a cohomology theory
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2017-02-18 16:56:50 -05:00 |
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Floris van Doorn
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c0b7740f13
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order of arguments in group.mk has changed
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2017-02-02 17:16:14 -05:00 |
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Floris van Doorn
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00e01fd2a6
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feat(homotopy): prove adjunction between smash product and pointed maps
also develop library for equality reasoning on pointed homotopies.
Also do the renamings like homomorphism -> is_mul_hom
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2017-01-18 23:19:06 +01:00 |
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Floris van Doorn
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802eec812f
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Prove some basic properties about the smash product, and start on its associativity
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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cb3fac2fb3
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start on torus = S^1 x S^1
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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db72ff0a66
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more pushout lemmas, continue with smash of the circle
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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372ca7297c
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finish proof that smash is the cofiber of the map from the wedge to the product
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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6594be4292
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prove some lemmas about pushouts, and start on the formulation of the 3x3 lemma
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2017-01-14 21:06:17 +01:00 |
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Floris van Doorn
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7f6752e14f
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Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories
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2017-01-14 21:05:34 +01:00 |
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Steve Awodey
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c814534104
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First Isomorphism Theorem for AbGroups
with prelim.s
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2016-12-08 16:20:14 -05:00 |
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Egbert Rijke
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8d586d587b
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finished some lemma
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2016-12-08 14:16:40 -05:00 |
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Floris van Doorn
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b08457c77f
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move things to the Lean library, and update after changes in the Lean library
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2016-11-24 00:11:55 -05:00 |
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Floris van Doorn
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4f1db25e16
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Work on the uniqueness of Eilenberg-Maclane spaces
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2016-11-23 23:54:32 -05:00 |
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Floris van Doorn
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9df0b25ae5
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some additions to the smash product and direct sums
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2016-11-14 14:44:29 -05:00 |
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Floris van Doorn
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704717e9ae
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minor changes
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2016-11-03 15:34:06 -04:00 |
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Floris van Doorn
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79dea677e8
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colimit, start on encode-decode proof
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2016-10-13 16:01:59 -04:00 |
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Floris van Doorn
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ead2fbbd58
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do the loop-susp adjunction in pointed types
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2016-10-13 16:01:59 -04:00 |
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Floris van Doorn
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a31c15e384
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continue on spectrification
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2016-10-13 16:01:54 -04:00 |
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Floris van Doorn
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946506af5c
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define smash without any 2-paths and work on smashing with the circle
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2016-10-13 15:49:47 -04:00 |
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Floris van Doorn
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b3765932d9
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work on spectrification
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2016-10-13 15:49:47 -04:00 |
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Floris van Doorn
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0a15d184b2
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cohomology: define cohomology as abelian groups and define the functorial action
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2016-10-13 15:49:17 -04:00 |
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Floris van Doorn
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258671578d
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EM: add functorial action and equivalence of 1-Type*[0] and Group
n-Type*[k] is new notation for n-truncated k-connected pointed types. All 'subnotations' are also defined
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2016-09-23 17:16:48 -04:00 |
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Floris van Doorn
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d8c694e113
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update after changes in the HoTT library. Mostly some naming and notation changes
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2016-09-23 17:16:25 -04:00 |
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Floris van Doorn
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a34606c64f
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small changes, remove old file
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2016-09-23 17:12:46 -04:00 |
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Floris van Doorn
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fb55292c34
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add move_to_lib: a file where we can put theorems which should be moved to files in the HoTT library
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2016-09-16 20:23:05 -04:00 |
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