Wild knot
id:
wild-knot-174-8122694
title:
Wild knot
text:
In the mathematical theory of knots, a knot is tame if it can be "thickened", that is, if there exists an extension to an embedding of the solid torus S 1 × D 2 into the 3-sphere. A knot is tame if and only if it can be represented as a finite closed polygonal chain. Every closed curve containing a wild arc is a wild knot. Knots that are not tame are called wild and can have pathological behavior. In knot theory and 3-manifold theory, often the adjective "tame" is omitted. Smooth knots, for exam
brand slug:
wiki
category slug:
encyclopedia
description:
Knot that can't be tied in a string of constant diameter
original url:
https://en.wikipedia.org/wiki/Wild_knot
date created:
2008-09-18T21:14:39Z
date modified:
2024-09-03T04:32:32Z
main entity:
{"identifier":"Q2489408","url":"https://www.wikidata.org/entity/Q2489408"}
image:
fields total:
13
integrity:
15