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Dense set

In topology and related areas of mathematics, a subset A of a topological space X is said to be dense in X if every point of X either belongs to A or else is arbitrarily "close" to members of A — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number…

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Related notions

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Map overview Semantic statistics

Dense set

Nodes74
Edges73
Triples13
Avg. degree1.97
Density0.027027
Components1

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Dense set

Top relations

related to Examples · 6
Dense set → But, By, In, Perhaps, The, Weierstrass
related to Density in metric spaces · 3
Dense set → An, Then, When
related to Related notions · 3
Dense set → Equivalently, Given, The
is a · 1
Dense set → dense open set

Important terminology Word statistics

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Important terminology

dense displaystyle space subset topological every open topology set metric continuous subsets called also non-empty said real spaces density intersects

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dense setis adense open set0.90text
Dense setrelated to Density in metric spacesAn0.60section
Dense setrelated to Density in metric spacesWhen0.60section
Dense setrelated to Density in metric spacesThen0.60section
Dense setrelated to ExamplesThe0.60section
Dense setrelated to ExamplesPerhaps0.60section
Dense setrelated to ExamplesBut0.60section
Dense setrelated to ExamplesBy0.60section
Dense setrelated to ExamplesWeierstrass0.60section
Dense setrelated to ExamplesIn0.60section
Dense setrelated to Related notionsEquivalently0.60section
Dense setrelated to Related notionsThe0.60section

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    Min side: 3
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