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
* [hset](hset.hlean) : Category of sets. Prove that it is complete and cocomplete
* [sum](sum.hlean) : Sum category
* [product](product.hlean) : Product category
* [comma](comma.hlean) : Comma category
* [cone](cone.hlean) : Cone category

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)
* [indiscrete](indiscrete.hlean)
* [terminal](terminal.hlean)
* [initial](initial.hlean)

Non-basic topics:
* [functor2](functor2.hlean) : showing that the functor category has (co)limits if the codomain has them.
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`
feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is 2015-10-02 23:54:27 +00:00			`* [hset](hset.hlean) : Category of sets. Prove that it is complete and cocomplete`
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`

			`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)`
			`* [indiscrete](indiscrete.hlean)`
			`* [terminal](terminal.hlean)`
			`* [initial](initial.hlean)`
feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is 2015-10-02 23:54:27 +00:00
			`Non-basic topics:`
			`* [functor2](functor2.hlean) : showing that the functor category has (co)limits if the codomain has them.`