cofiltered category

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Filtered category — In category theory, filtered categories generalize the notion of directed set.A category J is filtered when * it is not empty, * for every two objects j and j in J there exists an object k and two arrows f:j o k and f :j o k in J, * for every two … Wikipedia
Inverse system — In mathematics, an inverse system in a category C is a functor from a small cofiltered category I to C . An inverse system is sometimes called a pro object in C .The category of inverse systemsPro objects in C form a category pro C . Two inverse… … Wikipedia

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