Floris van Doorn
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0cf04ed3f2
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feat(hott): port group_power and int/order from standard library. Update markdown files
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2017-05-22 00:56:04 -04:00 |
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Floris van Doorn
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a588c0f205
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chore(algebra): clean up some imports
Also add some notation to lean-input.el
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2017-05-22 00:55:35 -04:00 |
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Floris van Doorn
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540d451e01
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fix(hott): small fixes
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2017-03-07 22:56:47 -05:00 |
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Floris van Doorn
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8bdd699fca
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feat(functor.adjoint): give another way to construct an adjunction
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2017-03-07 22:48:44 -05:00 |
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Floris van Doorn
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5eafb1f6b2
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feat(algebra): use infinity groups
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2017-02-02 21:38:48 -05:00 |
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Floris van Doorn
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25ab404781
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feat(algebra): define the infinity-version of algebraic structures with one binary operator
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2017-02-02 17:23:23 -05:00 |
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Floris van Doorn
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217035b06c
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feat(hott): minor changes
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2017-01-18 22:24:59 +01:00 |
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Jeremy Avigad
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bb67a3b9bf
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feat(hott/algebra/homomorphism): more general treatment of homomorphisms
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2017-01-11 13:45:42 -05:00 |
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Floris van Doorn
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e87a27cb4b
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fix(hott/init/path): reorder arguments of whisker_right
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2016-12-02 16:55:23 -08:00 |
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Floris van Doorn
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9342fe2716
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feat(hott) move many lemmas to library, and cleanup various parts
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2016-12-02 16:55:23 -08:00 |
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Floris van Doorn
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ecbe4af3c7
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fix(hott:group): use only reducible definitions in instances
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2016-12-02 16:55:23 -08:00 |
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Floris van Doorn
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d12a2a264b
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fix(hott:group_theory): change group to has_mul
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2016-12-02 16:55:23 -08:00 |
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Floris van Doorn
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d5a72f6327
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feat(homotopy_group): use is_succ for homotopy groups
Now you can use πg[n] as long as Lean can find an instance that n is a successor, you don't have to always write πg[k+1]
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2016-09-22 16:00:27 -04:00 |
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Floris van Doorn
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341a53b880
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feat(pointed): make the naming in the pointed library more consistent.
Also start on a naming conventions file
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2016-09-22 16:00:27 -04:00 |
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Floris van Doorn
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554abe88c2
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feat(hott/algebra): define bundled additive groups as multiplicative groups
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2016-09-19 22:13:42 -04:00 |
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Floris van Doorn
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c884e7bbb9
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feat(hott/algebra): define additive structures to be multiplicative structures
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2016-09-19 22:13:35 -04:00 |
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Floris van Doorn
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8d6010ccad
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feat(pointed): use pointed equivalences instead of equalities for some lemmas
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2016-09-18 02:14:32 -04:00 |
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Floris van Doorn
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e2734080c6
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fix(algebra): change the reducibility of some defintions
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2016-09-18 02:14:32 -04:00 |
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Floris van Doorn
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11c08c51e6
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fix(algebra/group_theory): split homomorphisms into additive and multiplicative homomorphisms
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2016-09-18 02:14:31 -04:00 |
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Floris van Doorn
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c68e013fcb
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refactor(fin+nat): move is_succ to nat
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2016-09-18 02:14:25 -04:00 |
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Floris van Doorn
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d70334d100
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feat(hott/algebra/bundled): add a parameter to Group to specify whether it's an additive or multiplicative group
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2016-09-18 02:13:30 -04:00 |
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Floris van Doorn
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467001c0a9
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feat(hott): minor changes
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2016-09-18 02:13:21 -04:00 |
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Floris van Doorn
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ddec6f77ee
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feat(category.pushout): finish second way of formulating universal property
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2016-09-18 02:13:03 -04:00 |
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Floris van Doorn
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fd5adb831b
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feat(category.pushout): finish universal property of pushout
In the previous commit there was still one step missing: that the natural isomorphisms are also unique.
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2016-09-17 17:05:46 -04:00 |
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Floris van Doorn
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fe1fbae540
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feat(category.pushout): give the universal property of the pushout of categories
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2016-09-17 17:05:46 -04:00 |
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Jakob von Raumer
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c81c86a9b8
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chore(hott) remove duplicate lemma, make defs private, update book.md
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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e79063970d
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feat(hott) finish proof of lemma 9.9.4
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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5f06496f89
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feat(hott) almost finish 9.9.4 proof
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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3e1ee4b714
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feat(hott) add functor axioms for lemma 9.9.4 construction
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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d26d98531c
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feat(hott) add morphism part of construction for lemma 9.9.4
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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8718a649c4
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feat(hott) add first bit of proof of 9.9.4: construction of some gadgets and prove that they are contractible
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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548671ce1b
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feat(hott) prove lemma 9.9.2: essentially surjective and full functors induce fully faithful functors in the functor category
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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0ff8a96be1
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feat(hott) formalize book lemma 9.9.1: essentially surjective functors induce faithful functors in the functor category
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2016-09-08 19:34:54 -07:00 |
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Jakob von Raumer
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cc70845332
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chore(hott) update book.md and constructions.md to include rezk completion
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2016-07-09 10:32:50 -07:00 |
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Jakob von Raumer
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18a27cf963
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chore(hott) merge namespaces in rezk completion
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2016-07-09 10:31:42 -07:00 |
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Jakob von Raumer
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82a8d137da
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feat(hott) prove that rezk functor is a weak equivalence
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2016-07-09 10:31:42 -07:00 |
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Jakob von Raumer
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57bf0a09dd
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feat(hott) add rezk completion as univalent category
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2016-07-09 10:31:42 -07:00 |
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Jakob von Raumer
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86d9a1c84d
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feat(hott) add id_of_iso of rezk completion
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2016-07-09 10:31:42 -07:00 |
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Jakob von Raumer
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6d6ab3f36b
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feat(hott) instantiate rezk completion as precategory
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2016-07-09 10:31:42 -07:00 |
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Jakob von Raumer
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64e1e5404c
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feat(hott) add composition for rezk completion
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2016-07-09 10:31:41 -07:00 |
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Jakob von Raumer
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5c4aac6c8a
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feat(hott) add idenity for rezk completion
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2016-07-09 10:31:41 -07:00 |
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Jakob von Raumer
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a5fe82f177
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feat(hott) add carrier and hom set of rezk completion
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2016-07-09 10:31:41 -07:00 |
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Floris van Doorn
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3213b1b3b0
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feat(EM): Prove some corollaries of Whitehead's principle, and prove that K(G,1) is unique.
Also reorder the arguments of is_equiv_compose
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2016-07-09 10:20:22 -07:00 |
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Floris van Doorn
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17ccc283a9
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feat(hott): move basic theorems from colimit development to library.
Most notable changes:
rename apo011 -> apd011 and apd011 -> apdt011
make an argument of pathover_of_eq explicit
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2016-07-09 10:20:22 -07:00 |
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Floris van Doorn
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fcf06ae2f5
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feat(vankampen): prove the van Kampen theorem with basepoints
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2016-07-09 10:20:21 -07:00 |
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Floris van Doorn
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735230ad07
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feat(hott): small changes, simplify van Kampen
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2016-07-09 10:20:21 -07:00 |
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Floris van Doorn
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e96e4a677d
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feat(homotopy): prove the naive Seifert-Van Kampen theorem
Also define the pushout of categories and the pushout of groupoids
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2016-07-09 10:20:21 -07:00 |
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Floris van Doorn
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61848c4a2e
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feat(hott): define pushout of groupoids
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2016-07-09 10:20:21 -07:00 |
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Floris van Doorn
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9f13527c25
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chore(hott): update default files and some markdown files
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2016-07-09 10:20:21 -07:00 |
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Floris van Doorn
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dd5dcb1dd1
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feat(hott): prove something without using ua and update book.md
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2016-07-09 10:20:21 -07:00 |
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