Path (topology)
id:
path-topology-247-11656346
title:
Path (topology)
text:
In mathematics, a path in a topological space X is a continuous function from a closed interval into X . Paths play an important role in the fields of topology and mathematical analysis. For example, a topological space for which there exists a path connecting any two points is said to be path-connected. Any space may be broken up into path-connected components. The set of path-connected components of a space X is often denoted π 0 . One can also define paths and loops in pointed spaces, which a
brand slug:
wiki
category slug:
encyclopedia
description:
Continuous function whose domain is a closed unit interval
original url:
https://en.wikipedia.org/wiki/Path_(topology)
date created:
date modified:
2024-02-02T08:28:31Z
main entity:
{"identifier":"Q1366002","url":"https://www.wikidata.org/entity/Q1366002"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/d8/Path.svg","width":256,"height":156}
fields total:
13
integrity:
15