Floris van Doorn
c5d31f76d7
move definitions from spectral repository here
2018-09-07 11:58:13 +02:00
Floris van Doorn
c8477d28ba
generalize many results about pointed homotopies of nondependent maps to dependent maps
2017-07-21 15:53:34 +01:00
Floris van Doorn
1a26d405ef
define pmap in terms of ppi
2017-07-21 15:53:34 +01:00
Floris van Doorn
27cde0aeae
feat(hott): rename ppi_gen to ppi
2017-07-21 15:53:34 +01:00
Floris van Doorn
64327eb804
fix precedence of ->*
...
and some other small changes
2017-07-21 15:53:34 +01:00
Floris van Doorn
39a8c7fef4
feat(pointed): define phomotopy as a dependent pointed function
...
this also requires dependent pointed functions to be generalized to the case where the type family only has a point over the basepoint of the basetype
2017-06-17 17:20:04 -04:00
Floris van Doorn
a1126cfcf2
feat(trunc): simplify proof further
2017-06-16 14:38:46 -04:00
Floris van Doorn
9066ee4801
feat(trunc): simplify proof
...
unreachable code was reached with the old proof in some builds
2017-06-16 14:34:52 -04:00
Floris van Doorn
5ad4443237
feat(pointed): rename pequiv.MK2 to pequiv.MK, it is the more natural constructor
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also move some definitions from pointed or equiv to pointed2 and define transitivity so that it computes
2017-06-14 22:47:55 -04:00
Floris van Doorn
9265094f96
feat(pointed): redefine pequiv
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Now the underlying pointed function and pointed inverse are the functions which were put in definitionally
2017-06-14 21:28:31 -04:00
Floris van Doorn
66ea4a4725
fix(LES_of_homotopy_groups): make LES of homotopy groups more usable
2017-06-14 20:03:41 -04:00
Floris van Doorn
7d0eecc449
feat(hott): move basic lemmas from the spectral repository to the main repository
2017-06-02 12:13:20 -04:00
Floris van Doorn
76a8dd1816
fix(prod): revert change with unintended consequence
2017-05-24 17:13:10 -04:00
Floris van Doorn
ba5368c4ae
feat(hott): various small changes
2017-05-22 00:56:05 -04:00
Floris van Doorn
0cf04ed3f2
feat(hott): port group_power and int/order from standard library. Update markdown files
2017-05-22 00:56:04 -04:00
Floris van Doorn
c268731093
fix(hott): small changes to pointed and susp and book.md
2017-03-30 16:51:51 -04:00
Floris van Doorn
8e2adaa5ba
feat(pointed): generalize the definition of ap1 so that we can use path induction to prove properties about it
2017-03-30 16:51:20 -04:00
Floris van Doorn
540d451e01
fix(hott): small fixes
2017-03-07 22:56:47 -05:00
Floris van Doorn
916bde4050
feat(pointed): make the definition of ap1 and ap1_con more convenient to use
2017-02-18 17:18:41 -05:00
Floris van Doorn
25ab404781
feat(algebra): define the infinity-version of algebraic structures with one binary operator
2017-02-02 17:23:23 -05:00
Floris van Doorn
2d918bafaa
feat(pointed): some definition changes to make reasoning about them easier
2017-01-18 22:25:26 +01:00
Floris van Doorn
249d57cd02
feat(hott): small additions and fixes
2017-01-18 22:24:59 +01:00
Floris van Doorn
55bdf2764b
feat(homotopy/red_susp): prove that reduced suspension is equivalent to suspension, and some small things
2017-01-18 22:24:59 +01:00
Floris van Doorn
217035b06c
feat(hott): minor changes
2017-01-18 22:24:59 +01:00
Floris van Doorn
dbe4856cbd
fix(nat/hott): add constructor attribute for is_succ
2017-01-18 22:24:59 +01:00
Floris van Doorn
f87210fcf6
feat(hott): various small changes
2017-01-18 22:24:59 +01:00
Floris van Doorn
e87a27cb4b
fix(hott/init/path): reorder arguments of whisker_right
2016-12-02 16:55:23 -08:00
Floris van Doorn
9342fe2716
feat(hott) move many lemmas to library, and cleanup various parts
2016-12-02 16:55:23 -08:00
Floris van Doorn
341a53b880
feat(pointed): make the naming in the pointed library more consistent.
...
Also start on a naming conventions file
2016-09-22 16:00:27 -04:00
Floris van Doorn
c884e7bbb9
feat(hott/algebra): define additive structures to be multiplicative structures
2016-09-19 22:13:35 -04:00
Floris van Doorn
8d6010ccad
feat(pointed): use pointed equivalences instead of equalities for some lemmas
2016-09-18 02:14:32 -04:00
Floris van Doorn
e2734080c6
fix(algebra): change the reducibility of some defintions
2016-09-18 02:14:32 -04:00
Floris van Doorn
c68e013fcb
refactor(fin+nat): move is_succ to nat
2016-09-18 02:14:25 -04:00
Floris van Doorn
d70334d100
feat(hott/algebra/bundled): add a parameter to Group to specify whether it's an additive or multiplicative group
2016-09-18 02:13:30 -04:00
Floris van Doorn
467001c0a9
feat(hott): minor changes
2016-09-18 02:13:21 -04:00
Floris van Doorn
ddec6f77ee
feat(category.pushout): finish second way of formulating universal property
2016-09-18 02:13:03 -04:00
Floris van Doorn
fd5adb831b
feat(category.pushout): finish universal property of pushout
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In the previous commit there was still one step missing: that the natural isomorphisms are also unique.
2016-09-17 17:05:46 -04:00
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.
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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.
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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
e96e4a677d
feat(homotopy): prove the naive Seifert-Van Kampen theorem
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Also define the pushout of categories and the 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
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
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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
8db4676c46
feat(hott): various changes and additions in the HoTT library
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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
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
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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
