Classifying space
id:
classifying-space-314-17316193
title:
Classifying space
text:
In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e., a topological space all of whose homotopy groups are trivial) by a proper free action of G. It has the property that any G principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle E G → B G . As explained later, this means that classifying spaces represent a set-valued functor on the homotopy category of
brand slug:
wiki
category slug:
encyclopedia
description:
Quotient of a weakly contractible space by a free action
original url:
https://en.wikipedia.org/wiki/Classifying_space
date created:
date modified:
2024-03-14T16:36:06Z
main entity:
{"identifier":"Q5128445","url":"https://www.wikidata.org/entity/Q5128445"}
image:
fields total:
13
integrity:
14