∞-groupoid
id:
groupoid-183-15315148
title:
∞-groupoid
text:
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. It is an ∞-category generalization of a groupoid, a category in which every morphism is an isomorphism. The homotopy hypothesis states that ∞-groupoids are equivalent to spaces up to homotopy.
brand slug:
wiki
category slug:
encyclopedia
description:
Abstract homotopical model for topological spaces
original url:
https://en.wikipedia.org/wiki/%E2%88%9E-groupoid
date created:
2013-11-03T22:35:11Z
date modified:
2024-09-07T02:53:24Z
main entity:
{"identifier":"Q16911578","url":"https://www.wikidata.org/entity/Q16911578"}
image:
fields total:
13
integrity:
15