lean2/hott/algebra/category/constructions/constructions.md
2016-07-09 10:20:21 -07:00

1.2 KiB

algebra.category.constructions

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

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

Discrete, indiscrete or finite categories:

  • finite_cats : 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 category. Also the groupoid formed by a 1-type
  • indiscrete
  • terminal
  • initial