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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.

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

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Boundedness in order theory

9 related topics

Definition in a metric space

7 related topics

Boundedness in topological vector spaces

5 related topics

Definition in the real numbers

2 related topics

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Overview

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

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
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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