Gordon–Luecke theorem
id:
gordon-luecke-theorem-264-2210446
title:
Gordon–Luecke theorem
text:
In mathematics, the Gordon–Luecke theorem on knot complements states that if the complements of two tame knots are homeomorphic, then the knots are equivalent. In particular, any homeomorphism between knot complements must take a meridian to a meridian. The theorem is usually stated as "knots are determined by their complements"; however this is slightly ambiguous as it considers two knots to be equivalent if there is a self-homeomorphism taking one knot to the other. Thus mirror images are negl
brand slug:
wiki
category slug:
encyclopedia
description:
Two tame knots with homeomorphic complements are the same or mirror images
original url:
https://en.wikipedia.org/wiki/Gordon%E2%80%93Luecke_theorem
date created:
date modified:
2021-02-18T22:09:02Z
main entity:
{"identifier":"Q5586065","url":"https://www.wikidata.org/entity/Q5586065"}
image:
fields total:
13
integrity:
14