Filtered Category - Cofiltered Categories

Cofiltered Categories

There is a dual notion of cofiltered category. A category is cofiltered if the opposite category is filtered. In detail, a category is cofiltered when

  • it is not empty
  • for every two objects and in there exists an object and two arrows and in ,
  • for every two parallel arrows in, there exists an object and an arrow such that .

A cofiltered limit is a limit of a functor where is a cofiltered category.

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