Free loop
id:
free-loop-315-3116751
title:
Free loop
text:
In the mathematical field of topology, a free loop is a variant of the notion of a loop. Whereas a loop has a distinguished point on it, called its basepoint, a free loop lacks such a distinguished point. Formally, let X be a topological space. Then a free loop in X is an equivalence class of continuous functions from the circle S 1 to X . Two loops are equivalent if they differ by a reparameterization of the circle. That is, f ∼ g if there exists a homeomorphism ψ : S 1 → S 1 such that g = f ∘
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Free_loop
date created:
date modified:
2024-03-09T21:38:10Z
main entity:
{"identifier":"Q2015432","url":"https://www.wikidata.org/entity/Q2015432"}
image:
fields total:
13
integrity:
13