Density theorem (category theory)
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 (called the standard n-simplex) so the theorem says: for each simplicial set X, where the colim runs over an index category determined by X.
Wikipage disambiguates
Link from a Wikipage to another Wikipage
primaryTopic
Density theorem (category theory)
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 (called the standard n-simplex) so the theorem says: for each simplicial set X, where the colim runs over an index category determined by X.
has abstract
In category theory, a branch o ...... ndex category determined by X.
@en
Wikipage page ID
54,487,799
page length (characters) of wiki page
Wikipage revision ID
1,016,920,387
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
comment
In category theory, a branch o ...... ndex category determined by X.
@en
label
Density theorem (category theory)
@en