Knot invariant
id:
knot-invariant-271-1833481
title:
Knot invariant
text:
In the mathematical field of knot theory, a knot invariant is a quantity defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some invariants are indeed numbers (algebraic), but invariants can range from the simple, such as a yes/no answer, to those as complex as a homology theory. Research on invariants is not only motivated by the basic problem of distinguishing one knot from another but also to under
brand slug:
wiki
category slug:
encyclopedia
description:
Function of a knot that takes the same value for equivalent knots
original url:
https://en.wikipedia.org/wiki/Knot_invariant
date created:
date modified:
2023-01-31T23:58:16Z
main entity:
{"identifier":"Q1862434","url":"https://www.wikidata.org/entity/Q1862434"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/12/Knot_table.svg","width":470,"height":350}
fields total:
13
integrity:
15