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Comb space

In mathematics, particularly topology, a comb space is a particular subspace of R 2 {\displaystyle \mathbb {R} ^{2}} that resembles a comb. The comb space has properties that serve as a number of counterexamples. The topologist's sine curve has similar properties to the comb space. The deleted comb space is a variation on the comb space.

Art, Topological properties & Formal definition

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Topological properties

Locally path connectedContractibleClosurePathOpen
14 related topics

Formal definition

Standard topologySet
2 related topics

Overview

TopologySubspaceCombCounterexamplesTopologist's sine curve
5 related topics

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Overview

Formal definition

Topological properties

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Map overview Semantic statistics

Comb space

Nodes25
Edges24
Triples21
Avg. degree1.92
Density0.08
Components1

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Comb space

Top relations

related to Topological properties · 13
Comb space → As, Choose, Clearly, Let, R2, Since, Suppose, The, Then, Therefore, This, To, We
related to External links · 4
Comb space → Comb, Eric, MathWorld, Weisstein
is a · 2
Comb space → particular subspace of R 2, variation on the comb space
related to Formal definition · 2
Comb space → Consider, The

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Important terminology

comb space displaystyle connected open topology deleted properties connectedness path since mathbb point set closed also subspace times subset suppose

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Comb spaceis aparticular subspace of R 20.90text
Comb spaceis avariation on the comb space0.90text
Comb spacerelated to External linksWeisstein0.60section
Comb spacerelated to External linksEric0.60section
Comb spacerelated to External linksComb0.60section
Comb spacerelated to External linksMathWorld0.60section
Comb spacerelated to Formal definitionConsider0.60section
Comb spacerelated to Formal definitionThe0.60section
Comb spacerelated to Topological propertiesThe0.60section
Comb spacerelated to Topological propertiesLet0.60section
Comb spacerelated to Topological propertiesAs0.60section
Comb spacerelated to Topological propertiesSuppose0.60section

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    Min side: 3
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