1.1 KiB
1.1 KiB
algebra.category.constructions
Common categories and constructions on categories. The following files are in this folder.
- functor : Functor category
- opposite : Opposite category
- hset : Category of sets. Prove that it is complete and cocomplete
- sum : Sum category
- product : Product category
- comma : Comma category
- cone : Cone category
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
- indiscrete
- terminal
- initial
Non-basic topics:
- functor2 : showing that the functor category has (co)limits if the codomain has them.