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Bounded set

In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in a general topological space without a corresponding metric.

Boundedness in order theory, Definition in a metric space & Boundedness in topological vector spaces

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Boundedness in order theory

Partially ordered setUpper and lower boundsGreatest elementRestrictionEuclidean distance
9 related topics

Definition in a metric space

SubsetMetric spaceTotal boundednessCompactComplete
7 related topics

Boundedness in topological vector spaces

Topological vector spacesVon Neumann boundednessHomogeneousNormNormed vector spaces
5 related topics

Definition in the real numbers

Real numbersFinite interval
2 related topics

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Definition in the real numbers

Definition in a metric space

Boundedness in topological vector spaces

Boundedness in order theory

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Bounded set

Nodes39
Edges38
Triples3
Avg. degree1.95
Density0.051282
Components1

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Bounded set

Top relations

related to Boundedness in topological vector spaces · 3
Bounded set → If, In, Neumann

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Important terminology

bounded set subset called space metric unbounded real numbers boundedness bound closed order topological upper lower also rn element distance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bounded setrelated to Boundedness in topological vector spacesIn0.60section
Bounded setrelated to Boundedness in topological vector spacesNeumann0.60section
Bounded setrelated to Boundedness in topological vector spacesIf0.60section

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    Min side: 3
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