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Adherent point

In mathematics, an adherent point (also closure point or point of closure or contact point) of a subset A {\displaystyle A} of a topological space X , {\displaystyle X,} is a point x {\displaystyle x} in X {\displaystyle X} such that every neighbourhood of x {\displaystyle x} (or equivalently, every open neighborhood of x {\displaystyle x} ) contains at…

Examples and sufficient conditions & Overview

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Overview

Examples and sufficient conditions

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Map overview Semantic statistics

Adherent point

Nodes20
Edges19
Triples40
Avg. degree1.9
Density0.1
Components1

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Adherent point

Top relations

related to References · 31
Adherent point → Adamson, Addison Wesley Longman, Adherent, Apostol, Birkhäuser Boston, Counterexamples, Creative Commons Attribution/Share-Alike License, General Topology, General Topology Workbook, Holt, Iain, Inc, ISBN, Jr, June, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematical Analysis, McGraw-Hill
related to Adherent points and sequences · 4
Adherent point → If, In, Let, Then
related to Adherent points and subspaces · 3
Adherent point → Consequently, Suppose, Then
related to Examples and sufficient conditions · 2
Adherent point → If, In

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Important terminology

displaystyle adherent point limit subset every topology topological points closure mathbb sequence space open contains set also neighborhood least one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Adherent pointrelated to Adherent points and sequencesIf0.60section
Adherent pointrelated to Adherent points and sequencesLet0.60section
Adherent pointrelated to Adherent points and sequencesThen0.60section
Adherent pointrelated to Adherent points and sequencesIn0.60section
Adherent pointrelated to Adherent points and subspacesSuppose0.60section
Adherent pointrelated to Adherent points and subspacesThen0.60section
Adherent pointrelated to Adherent points and subspacesConsequently0.60section
Adherent pointrelated to Examples and sufficient conditionsIf0.60section
Adherent pointrelated to Examples and sufficient conditionsIn0.60section
Adherent pointrelated to ReferencesAdamson0.60section
Adherent pointrelated to ReferencesIain0.60section
Adherent pointrelated to ReferencesGeneral Topology Workbook0.60section

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    Min side: 3
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