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Knot group

In mathematics, a knot is an embedding of a circle into 3-dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement of K in R3,

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Map overview Semantic statistics

Knot group

Nodes26
Edges25
Triples10
Avg. degree1.92
Density0.076923
Components1

How this topic connects Entity context

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Knot group

Top relations

related to Properties · 5
Knot group → However, Such, The, This, Two
related to Examples · 3
Knot group → B3, The, This
is a · 2
Knot group → fundamental group of its complement in S 3, knot invariant and can be used to distinguish between certain pairs of inequivalent knots

Important terminology Word statistics

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Important terminology

knot group isomorphic knots groups two fundamental mathematics link displaystyle see presentation embedding circle equivalent inequivalent first onto computed 3-dimensional

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Knot groupis afundamental group of its complement in S 30.90text
Knot groupis aknot invariant and can be used to distinguish between certain pairs of inequivalent knots0.90text
Knot grouprelated to ExamplesThe0.60section
Knot grouprelated to ExamplesB30.60section
Knot grouprelated to ExamplesThis0.60section
Knot grouprelated to PropertiesTwo0.60section
Knot grouprelated to PropertiesThis0.60section
Knot grouprelated to PropertiesSuch0.60section
Knot grouprelated to PropertiesHowever0.60section
Knot grouprelated to PropertiesThe0.60section

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    Min side: 3
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