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Topological complexity

In mathematics, topological complexity of a topological space X (also denoted by TC(X)) is a topological invariant closely connected to the motion planning problem[further explanation needed], introduced by Michael Farber in 2003.

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Overview

Definition

Examples

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Map overview Semantic statistics

Topological complexity

Nodes16
Edges15
Triples23
Avg. degree1.88
Density0.125
Components1

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Topological complexity

Top relations

related to References · 10
Topological complexity → Armindo Costa, Computational Geometry, Configuration Spaces, Discrete, Durham University, Farber, Ph, Thesis, Topological, Vol
related to Examples · 7
Topological complexity → Any, Euclidean, For, If, Klein, TC, The
related to Definition · 4
Topological complexity → Define, Let, PX, The
is a · 1
Topological complexity → minimal number k such thatthere exists an open cover
related to External links · 1
Topological complexity → Topological

Important terminology Word statistics

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Important terminology

topological complexity displaystyle space px points tc connected motion planning farber 2003 gamma define times path configuration mathematics also denoted

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Topological complexityis aminimal number k such thatthere exists an open cover0.90text
Topological complexityrelated to DefinitionLet0.60section
Topological complexityrelated to DefinitionPX0.60section
Topological complexityrelated to DefinitionDefine0.60section
Topological complexityrelated to DefinitionThe0.60section
Topological complexityrelated to ExamplesThe0.60section
Topological complexityrelated to ExamplesTC0.60section
Topological complexityrelated to ExamplesFor0.60section
Topological complexityrelated to ExamplesAny0.60section
Topological complexityrelated to ExamplesIf0.60section
Topological complexityrelated to ExamplesEuclidean0.60section
Topological complexityrelated to ExamplesKlein0.60section

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    Min side: 3
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