Loop (topology)
id:
loop-topology-303-113003
title:
Loop (topology)
text:
In mathematics, a loop in a topological space X is a continuous function f from the unit interval I = [0,1] to X such that f(0) = f(1). In other words, it is a path whose initial point is equal to its terminal point. A loop may also be seen as a continuous map f from the pointed unit circle S1 into X, because S1 may be regarded as a quotient of I under the identification of 0 with 1. The set of all loops in X forms a space called the loop space of X.
brand slug:
wiki
category slug:
encyclopedia
description:
Topological path whose initial point is equal to its terminal point
original url:
https://en.wikipedia.org/wiki/Loop_(topology)
date created:
date modified:
2022-05-17T07:12:34Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/a4/Fundamental_group_torus2.png","width":600,"height":303}
fields total:
13
integrity:
15