lean2/hott/algebra/category/constructions/constructions.md

algebra.category.constructions
==============================

Common categories and constructions on categories. The following files are in this folder.

* [functor](functor.hlean) : Functor category
* [opposite](opposite.hlean) : Opposite category
* [set](set.hlean) : Category of sets
* [sum](sum.hlean) : Sum category
* [product](product.hlean) : Product category
* [comma](comma.hlean) : Comma category
* [cone](cone.hlean) : Cone category
* [pushout](pushout.hlean) : Categorical structure of paths in a graph and quotients of them.
  Pushout of categories, pushout of groupoids.
* [fundamental_groupoid](fundamental_groupoid.hlean) : The fundamental groupoid of a type

Discrete, indiscrete or finite categories:

* [finite_cats](finite_cats.hlean) : Some finite categories, which are diagrams of common limits (the diagram for the pullback or the equalizer). Also contains a general construction of categories where you give some generators for the morphisms, with the condition that you cannot compose two of thosex
* [discrete](discrete.hlean) : Discrete category. Also the groupoid formed by a 1-type
* [indiscrete](indiscrete.hlean)
* [terminal](terminal.hlean)
* [initial](initial.hlean)
refactor(category): merge precategory/ and category/, organize construction files differently. 2015-04-25 04:20:59 +00:00			`algebra.category.constructions`
			`==============================`

			`Common categories and constructions on categories. The following files are in this folder.`

fix(hott): notation spacing and markdown files 2015-10-01 19:52:28 +00:00			`* [functor](functor.hlean) : Functor category`
refactor(category): merge precategory/ and category/, organize construction files differently. 2015-04-25 04:20:59 +00:00			`* [opposite](opposite.hlean) : Opposite category`
refactor(category): move some files to subfolders, and create file with basic functors 2015-10-27 23:02:42 +00:00			`* [set](set.hlean) : Category of sets`
fix(hott): notation spacing and markdown files 2015-10-01 19:52:28 +00:00			`* [sum](sum.hlean) : Sum category`
			`* [product](product.hlean) : Product category`
			`* [comma](comma.hlean) : Comma category`
			`* [cone](cone.hlean) : Cone category`
feat(hott): small changes, simplify van Kampen 2016-05-19 15:27:52 +00:00			`* [pushout](pushout.hlean) : Categorical structure of paths in a graph and quotients of them.`
			`Pushout of categories, pushout of groupoids.`
feat(homotopy): prove the naive Seifert-Van Kampen theorem Also define the pushout of categories and the pushout of groupoids 2016-05-18 04:33:35 +00:00			`* [fundamental_groupoid](fundamental_groupoid.hlean) : The fundamental groupoid of a type`
fix(hott): notation spacing and markdown files 2015-10-01 19:52:28 +00:00
			`Discrete, indiscrete or finite categories:`

			`* [finite_cats](finite_cats.hlean) : Some finite categories, which are diagrams of common limits (the diagram for the pullback or the equalizer). Also contains a general construction of categories where you give some generators for the morphisms, with the condition that you cannot compose two of thosex`
feat(homotopy): prove the naive Seifert-Van Kampen theorem Also define the pushout of categories and the pushout of groupoids 2016-05-18 04:33:35 +00:00			`* [discrete](discrete.hlean) : Discrete category. Also the groupoid formed by a 1-type`
fix(hott): notation spacing and markdown files 2015-10-01 19:52:28 +00:00			`* [indiscrete](indiscrete.hlean)`
			`* [terminal](terminal.hlean)`
			`* [initial](initial.hlean)`