Limit and colimit of presheaves
id:
limit-and-colimit-of-presheaves-256-5532322
title:
Limit and colimit of presheaves
text:
In category theory, a branch of mathematics, a limit or a colimit of presheaves on a category C is a limit or colimit in the functor category C ^ = F c t . The category C ^ admits small limits and small colimits. Explicitly, if f : I → C ^ is a functor from a small category I and U is an object in C, then lim → i ∈ I f is computed pointwise: The same is true for small limits. Concretely this means that, for example, a fiber product exists and is computed pointwise. When C is small, by the Yone
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encyclopedia
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https://en.wikipedia.org/wiki/Limit_and_colimit_of_presheaves
date created:
date modified:
2022-05-13T18:55:37Z
main entity:
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13
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