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Finite topological space

In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space which has only finitely many elements.

Properties, Examples & Topologies on a finite set

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Overview

Topologies on a finite set

Examples

Properties

Number of topologies on a finite set

Advanced semantic analysis

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Map overview Semantic statistics

Finite topological space

Nodes94
Edges93
Triples29
Avg. degree1.98
Density0.021277
Components1

How this topic connects Entity context

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Finite topological space

Top relations

related to Algebraic topology · 7
Finite topological space → In, It, More, Perhaps, S1, There, XK
related to Connectivity · 7
Finite topological space → Connectivity, In, It, One, That, The, We
related to Separation axioms · 6
Finite topological space → Hausdorff, If, It, T1, Therefore, This
related to External links · 4
Finite topological space → May, Notes, PDF, REU
related to Additional structure · 2
Finite topological space → In, R0
related to Compactness and countability · 2
Finite topological space → Every, Indeed
is a · 1
Finite topological space → topological space for which the underlying point set is finite

Important terminology Word statistics

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Important terminology

finite space set topology topological open topologies spaces preorder t0 specialization finitely points also sets discrete displaystyle since many elements

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Finite topological spaceis atopological space for which the underlying point set is finite0.90text
Finite topological spacerelated to Additional structureR00.60section
Finite topological spacerelated to Additional structureIn0.60section
Finite topological spacerelated to Algebraic topologyPerhaps0.60section
Finite topological spacerelated to Algebraic topologyThere0.60section
Finite topological spacerelated to Algebraic topologyS10.60section
Finite topological spacerelated to Algebraic topologyIt0.60section
Finite topological spacerelated to Algebraic topologyMore0.60section
Finite topological spacerelated to Algebraic topologyXK0.60section
Finite topological spacerelated to Algebraic topologyIn0.60section
Finite topological spacerelated to Compactness and countabilityEvery0.60section
Finite topological spacerelated to Compactness and countabilityIndeed0.60section

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    Min side: 3
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