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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d6de922d1f
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give last step of associativity of smash
there are still unproven lemma's
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2017-02-02 17:16:01 -05:00 |
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Floris van Doorn
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216a25af4f
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fix typo
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2017-02-02 17:15:46 -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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b2bfc978bf
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continue on associativity of smash, and add some properties about the wedge sum
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2017-01-14 21:08:00 +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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b7f53b90d7
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more on pushouts, interaction with sums, and induction principle for certain cofibers
latter part ported from Agda
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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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Ulrik Buchholtz
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43f5112c86
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move realprojective over from K-Theory repo
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2017-01-10 10:50:24 +01:00 |
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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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c96f3d18f2
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Work on the smash product
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2016-11-23 23:53:26 -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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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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5fbcbfe6e8
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prove that the degree of composites is the product of the degrees
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2016-09-17 00:02:22 -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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Floris van Doorn
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d4508eee2f
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start on mapping spectra
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2016-09-16 16:13:55 -04:00 |
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Floris van Doorn
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6fca83a2ed
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finish the construction of the LES for spectrum maps
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2016-09-15 19:19:03 -04:00 |
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Floris van Doorn
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e7c3144dbd
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fill in sorry in spherical_fibrations
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2016-09-15 18:05:58 -04:00 |
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Floris van Doorn
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683a515178
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progress on LES of spectrum maps
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2016-09-15 17:57:33 -04:00 |
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Floris van Doorn
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6cec5dcdaa
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fix definition of homotopy group of spectrum, continue of LES of spectra
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2016-09-14 18:46:53 -04:00 |
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Floris van Doorn
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9d00ea2f6f
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feat(spectrum): start on the LES of homotopy groups for spectra
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2016-09-09 16:45:44 -04:00 |
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Floris van Doorn
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c9af080cc2
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feat(splice): prove a lemma on how to splice chain complexes together
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2016-09-09 16:43:39 -04:00 |
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Floris van Doorn
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b45e20d0cc
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feat(cohomology): start on cohomology file
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2016-09-09 16:43:09 -04:00 |
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Floris van Doorn
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78492bbe09
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feat(EM): Work on uniqueness of K(G,n)'s
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2016-09-01 14:08:42 -04:00 |
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Floris van Doorn
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dc2a26745e
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move results to HoTT library, and start on uniqueness of K(G, n) for n>1
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2016-06-26 09:26:13 +01:00 |
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Floris van Doorn
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21c6e8f7e5
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small changes after changes in HoTT library
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2016-06-26 09:26:13 +01:00 |
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Floris van Doorn
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9f5d7bda9f
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more stuff
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2016-04-26 17:33:17 -04:00 |
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Floris van Doorn
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62c134df4e
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whitehead corollaries
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2016-04-26 16:07:15 -04:00 |
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Floris van Doorn
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ba7b25d00f
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move files to the HoTT library and update after changes in the HoTT library
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2016-04-25 19:51:17 -04:00 |
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Floris van Doorn
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0af9c0ecc7
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prove is_equiv_π_of_is_connected for functions where the domain and codomain live in different universes
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2016-04-14 17:15:03 -04:00 |
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Floris van Doorn
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7d7ddaff9f
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give the LES of a fibration sequence
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2016-04-13 12:20:22 -04:00 |
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