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Isolated point

In mathematics, a point x is called an isolated point of a subset S (in a topological space X) if x is an element of S and there exists a neighborhood of x that does not contain any other points of S. This is equivalent to saying that the singleton {x} is an open set in the topological space S (considered as a subspace of X). Another equivalent…

Standards, Examples & Related notions

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Overview

Related notions

Examples

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Map overview Semantic statistics

Isolated point

Nodes38
Edges37
Triples9
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

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Isolated point

Top relations

related to External links · 3
Isolated point → Eric, MathWorld, Weisstein
related to Related notions · 3
Isolated point → Any, Euclidean, However
related to Standard examples · 3
Isolated point → For, The, Topological

Important terminology Word statistics

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Important terminology

point isolated set points space displaystyle topological element every contains discrete called one euclidean many exists equivalent open closure two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Isolated pointrelated to External linksWeisstein0.60section
Isolated pointrelated to External linksEric0.60section
Isolated pointrelated to External linksMathWorld0.60section
Isolated pointrelated to Related notionsAny0.60section
Isolated pointrelated to Related notionsEuclidean0.60section
Isolated pointrelated to Related notionsHowever0.60section
Isolated pointrelated to Standard examplesTopological0.60section
Isolated pointrelated to Standard examplesFor0.60section
Isolated pointrelated to Standard examplesThe0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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