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Slice knot

A slice knot is a mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space.

Definition, Invariants & Examples

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Explore the main themes, entities and connections around Slice knot. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definition

Examples

Invariants

Geometrical description of the concordance relation

4-genus

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Slice knot

Nodes40
Edges39
Triples56
Avg. degree1.95
Density0.05
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Slice knot

Top relations

related to Examples · 15
Slice knot → All, Composite, Conway, Every, John Horton Conway, Kinoshita-Terasaka, On, Starting, Stevedore, The, The Conway, There, These, Twist, Up
related to 4-genus · 10
Slice knot → An, As, Examples, It, Judging, Knots, Seifert, The, The Conway, This
related to Geometrical description of the concordance relation · 9
Slice knot → As, At, Connecting, If, In, Morse, The, This, Two
related to Invariants · 7
Slice knot → Delta, Fox-Milnor, Furthermore, It, Laurent, The, The Alexander
related to Definition · 6
Slice knot → Both, Every, Here, Slice-ribbon, Smoothly, Usually
related to Slice knots and the knot concordance group · 6
Slice knot → In, It, Since, The, Two, With
related to External links · 2
Slice knot → Peter Teichner, Slice
is a · 1
Slice knot → mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space

Important terminology Word statistics

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Important terminology

slice knots knot displaystyle smoothly concordance disk embedded group smooth topologically also 4-genus two number boundary order trivial concordant cylinder

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Slice knotis amathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space0.90text
Slice knotrelated to 4-genusAn0.60section
Slice knotrelated to 4-genusThe0.60section
Slice knotrelated to 4-genusAs0.60section
Slice knotrelated to 4-genusKnots0.60section
Slice knotrelated to 4-genusSeifert0.60section
Slice knotrelated to 4-genusExamples0.60section
Slice knotrelated to 4-genusThe Conway0.60section
Slice knotrelated to 4-genusJudging0.60section
Slice knotrelated to 4-genusThis0.60section
Slice knotrelated to 4-genusIt0.60section
Slice knotrelated to DefinitionHere0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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