Jakob von Raumer
e79063970d
feat(hott) finish proof of lemma 9.9.4
2016-09-08 19:34:54 -07:00
Jakob von Raumer
5f06496f89
feat(hott) almost finish 9.9.4 proof
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3e1ee4b714
feat(hott) add functor axioms for lemma 9.9.4 construction
2016-09-08 19:34:54 -07:00
Jakob von Raumer
d26d98531c
feat(hott) add morphism part of construction for lemma 9.9.4
2016-09-08 19:34:54 -07:00
Jakob von Raumer
8718a649c4
feat(hott) add first bit of proof of 9.9.4: construction of some gadgets and prove that they are contractible
2016-09-08 19:34:54 -07:00
Jakob von Raumer
143bd765f3
chore(hott) fix markup syntax in book.md
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3416430cfa
chore(hott) update book.md
2016-09-08 19:34:54 -07:00
Jakob von Raumer
548671ce1b
feat(hott) prove lemma 9.9.2: essentially surjective and full functors induce fully faithful functors in the functor category
2016-09-08 19:34:54 -07:00
Jakob von Raumer
0ff8a96be1
feat(hott) formalize book lemma 9.9.1: essentially surjective functors induce faithful functors in the functor category
2016-09-08 19:34:54 -07:00
Jakob von Raumer
3de39200a4
chore(hott) update book.md and constructions.md to include rezk completion
2016-09-08 19:34:54 -07:00
Jakob von Raumer
cc70845332
chore(hott) update book.md and constructions.md to include rezk completion
2016-07-09 10:32:50 -07:00
Jakob von Raumer
18a27cf963
chore(hott) merge namespaces in rezk completion
2016-07-09 10:31:42 -07:00
Jakob von Raumer
82a8d137da
feat(hott) prove that rezk functor is a weak equivalence
2016-07-09 10:31:42 -07:00
Jakob von Raumer
57bf0a09dd
feat(hott) add rezk completion as univalent category
2016-07-09 10:31:42 -07:00
Jakob von Raumer
86d9a1c84d
feat(hott) add id_of_iso of rezk completion
2016-07-09 10:31:42 -07:00
Jakob von Raumer
6d6ab3f36b
feat(hott) instantiate rezk completion as precategory
2016-07-09 10:31:42 -07:00
Jakob von Raumer
64e1e5404c
feat(hott) add composition for rezk completion
2016-07-09 10:31:41 -07:00
Jakob von Raumer
5c4aac6c8a
feat(hott) add idenity for rezk completion
2016-07-09 10:31:41 -07:00
Jakob von Raumer
8d4ad591c8
feat(hott) add missing pathover lemmas
2016-07-09 10:31:41 -07:00
Jakob von Raumer
a5fe82f177
feat(hott) add carrier and hom set of rezk completion
2016-07-09 10:31:41 -07:00
Floris van Doorn
2cc8914874
feat(homotopy): add results about infty-connectedness and loops of EM-spaces
2016-07-09 10:20:22 -07:00
Floris van Doorn
3213b1b3b0
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
2016-07-09 10:20:22 -07:00
Floris van Doorn
17ccc283a9
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
2016-07-09 10:20:22 -07:00
Floris van Doorn
ae1b2e854c
feat(hott): various minor changes
2016-07-09 10:20:21 -07:00
Floris van Doorn
fcf06ae2f5
feat(vankampen): prove the van Kampen theorem with basepoints
2016-07-09 10:20:21 -07:00
Floris van Doorn
15cdd593c1
feat(init.{equiv|ua}): remove duplicated theorem
2016-07-09 10:20:21 -07:00
Floris van Doorn
41de1a8271
feat(hit): add construction of propositional truncation to the library
2016-07-09 10:20:21 -07:00
Floris van Doorn
735230ad07
feat(hott): small changes, simplify van Kampen
2016-07-09 10:20:21 -07:00
Floris van Doorn
e96e4a677d
feat(homotopy): prove the naive Seifert-Van Kampen theorem
...
Also define the pushout of categories and the pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
61848c4a2e
feat(hott): define pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
9f13527c25
chore(hott): update default files and some markdown files
2016-07-09 10:20:21 -07:00
Floris van Doorn
dd5dcb1dd1
feat(hott): prove something without using ua and update book.md
2016-07-09 10:20:21 -07:00
Floris van Doorn
66ec690061
feat(book): add new theorems to book.md
2016-05-06 14:27:27 -07:00
Floris van Doorn
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
...
This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
2016-05-06 14:27:27 -07:00
Floris van Doorn
ab7adf3084
fix(pathover): remove unused argument of loop_pathover
2016-05-06 14:27:27 -07:00
Floris van Doorn
2afdaf6906
fix(groupoid): redefine groupoid given by a group
...
The composition was in the reverse order
2016-05-06 14:27:27 -07:00
Floris van Doorn
1135d80266
feat(hott): use group isomorphisms instead of equality between groups
2016-05-06 14:27:27 -07:00
Floris van Doorn
8db4676c46
feat(hott): various changes and additions in the HoTT library
...
Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.
renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
2016-05-06 14:27:27 -07:00
Floris van Doorn
a6b5191be6
feat(pushout/susp): change definition of elim_type, so that flattening is easier to prove
2016-05-06 14:26:46 -07:00
Jakob von Raumer
651df51cb7
chore(hott) the coercion doesn't seem to be the problem
2016-04-11 09:45:59 -07:00
Jakob von Raumer
7a9e1c7f4f
chore(hott) fix sum proof by adding manual coercions
2016-04-11 09:45:59 -07:00
Floris van Doorn
a6319118e3
feat(types.pointed): small additions
2016-04-11 09:45:59 -07:00
Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
...
We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
2016-04-11 09:45:59 -07:00
Floris van Doorn
4895726c54
feat(connectedness): show that if f is n-connected, then trunc_functor k f is so, too
2016-04-11 09:45:59 -07:00
Floris van Doorn
54da5bcbda
feat(hott): add some [constructor] attributes
2016-04-11 09:45:59 -07:00
Floris van Doorn
3887efa7c1
feat(hott): some renamings in init.path
2016-04-11 09:45:59 -07:00
Floris van Doorn
3240df6020
feat(book): add comments about chapter 10
2016-04-11 09:45:59 -07:00
Floris van Doorn
dc37ec954d
refactor(hott): rename apdo to apd
2016-04-11 09:45:59 -07:00
Floris van Doorn
80a2e285cb
feat(init/ua): add ua_symm and ua_trans
2016-04-11 09:45:59 -07:00
Floris van Doorn
05b59aecf8
refactor(hott): rename apd to apdt
2016-04-11 09:45:59 -07:00
