Eilenberg–MacLane space
id:
eilenberg-maclane-space-210-1661998
title:
Eilenberg–MacLane space
text:
In mathematics, specifically algebraic topology, an Eilenberg–MacLane space is a topological space with a single nontrivial homotopy group. Let G be a group and n a positive integer. A connected topological space X is called an Eilenberg–MacLane space of type K, if it has n-th homotopy group π n isomorphic to G and all other homotopy groups trivial. Assuming that G is abelian in the case that n > 1, Eilenberg–MacLane spaces of type K always exist, and are all weak homotopy equivalent. Thus, one
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space with only one nontrivial homotopy group
original url:
https://en.wikipedia.org/wiki/Eilenberg%E2%80%93MacLane_space
date created:
2004-10-16T12:14:46Z
date modified:
2024-09-11T23:04:16Z
main entity:
{"identifier":"Q5349490","url":"https://www.wikidata.org/entity/Q5349490"}
image:
fields total:
13
integrity:
15