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About: ∞-groupoid     Goto   Sponge   NotDistinct   Permalink

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

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

In category theory, a branch of mathematics, an ∞-groupoid is an abstract homotopical model for topological spaces. One model uses Kan complexes which are fibrant objects in the category of simplicial sets (with the standard model structure). It is an ∞-category generalization of a groupoid, a category in which every morphism is an isomorphism. The homotopy hypothesis states that ∞-groupoids are spaces.