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About: Simplicial presheaf     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Set107996689, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatSimplicialSetsyago:Abstraction100002137yago:Collection107951464yago:Group100031264yago:Set107996689 New Facet based on Instances of this Class

In mathematics, more specifically in homotopy theory, a simplicial presheaf is a presheaf on a site (e.g., the category of topological spaces) taking values in simplicial sets (i.e., a contravariant functor from the site to the category of simplicial sets). Equivalently, a simplicial presheaf is a simplicial object in the category of presheaves on a site. The notion was introduced by A. Joyal in the 1970s. Similarly, a simplicial sheaf on a site is a simplicial object in the category of sheaves on the site.