Homotopy group
id:
homotopy-group-292-11577385
title:
Homotopy group
text:
In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, denoted π 1 , which records information about loops in a space. Intuitively, homotopy groups record information about the basic shape, or holes, of a topological space. To define the n-th homotopy group, the base-point-preserving maps from an n-dimensional sphere into a given space are collected into equivalence classes, called homotopy cl
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic construct classifying topological spaces
original url:
https://en.wikipedia.org/wiki/Homotopy_group
date created:
date modified:
2023-11-23T21:07:10Z
main entity:
{"identifier":"Q1626416","url":"https://www.wikidata.org/entity/Q1626416"}
image:
fields total:
13
integrity:
14