Density theorem (category theory)
id:
density-theorem-category-theory-320-9211886
title:
Density theorem (category theory)
text:
In category theory, a branch of mathematics, the density theorem states that every presheaf of sets is a colimit of representable presheaves in a canonical way. For example, by definition, a simplicial set is a presheaf on the simplex category Δ and a representable simplicial set is exactly of the form Δ n = Hom so the theorem says: for each simplicial set X, where the colim runs over an index category determined by X.
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Density_theorem_(category_theory)
date created:
date modified:
2023-01-11T14:54:29Z
main entity:
{"identifier":"Q48996306","url":"https://www.wikidata.org/entity/Q48996306"}
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fields total:
13
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13