Fundamental group
id:
fundamental-group-182-14060518
title:
Fundamental group
text:
In the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained in the space. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent have isomorphic fundamental groups. The fundamental group of a topological
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical group of the homotopy classes of loops in a topological space
original url:
https://en.wikipedia.org/wiki/Fundamental_group
date created:
2001-08-22T12:46:34Z
date modified:
2024-09-06T13:51:24Z
main entity:
{"identifier":"Q662830","url":"https://www.wikidata.org/entity/Q662830"}
image:
fields total:
13
integrity:
15