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Neighbourhood (mathematics)

In topology and mathematical analysis, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space. It is closely related to the concepts of open set and interior. Intuitively speaking, a neighbourhood of a point is a set of points containing that point where one can move some amount in any direction away from that point without…

Definitions, Examples & Deleted neighbourhood

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Definitions

Neighbourhood systemSubsetIf and only if
3 related topics

Examples

Real numbersEuclidean metricNatural numbers
3 related topics

Deleted neighbourhood

IntervalReal lineDefinition of the limit of a function
3 related topics

In a metric space

Metric spaceOpen ball
2 related topics

Topics to explore

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Overview

Definitions

In a metric space

Examples

Topology from neighbourhoods

Uniform neighbourhoods

Deleted neighbourhood

Advanced semantic analysis

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Map overview Semantic statistics

Neighbourhood (mathematics)

Nodes28
Edges27
Triples0
Avg. degree1.93
Density0.071429
Components1

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Important terminology Word statistics

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Important terminology

neighbourhood displaystyle set open point topology subset points space uniform isbn called topological containing deleted system one interior metric contained

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

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    Min side: 3
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