Knot complement
id:
knot-complement-257-902782
title:
Knot complement
text:
In mathematics, the knot complement of a tame knot K is the space where the knot is not. If a knot is embedded in the 3-sphere, then the complement is the 3-sphere minus the space near the knot. To make this precise, suppose that K is a knot in a three-manifold M. Let N be a tubular neighborhood of K; so N is a solid torus. The knot complement is then the complement of N, The knot complement XK is a compact 3-manifold; the boundary of XK and the boundary of the neighborhood N are homeomorphic to
brand slug:
wiki
category slug:
encyclopedia
description:
Complement of a knot in three-sphere
original url:
https://en.wikipedia.org/wiki/Knot_complement
date created:
date modified:
2023-10-24T00:23:20Z
main entity:
{"identifier":"Q2017498","url":"https://www.wikidata.org/entity/Q2017498"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9f/Torus_illustration.png","width":900,"height":594}
fields total:
13
integrity:
15