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Perfect set

In general topology, a subset of a topological space is perfect if it is closed and has no isolated points. Equivalently: the set S {\displaystyle S} is perfect if S = S ′ {\displaystyle S=S'} , where S ′ {\displaystyle S'} denotes the set of all limit points of S {\displaystyle S} , also known as the derived set of S {\displaystyle S} . (Some authors do…

Standards, Connection with other topological properties & Examples

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Connection with other topological properties

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Map overview Semantic statistics

Perfect set

Nodes33
Edges32
Triples5
Avg. degree1.94
Density0.060606
Components1

How this topic connects Entity context

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Perfect set

Top relations

related to Connection with other topological properties · 5
Perfect set → Bendixson, Cantor, Every, Polish, This

Important terminology Word statistics

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Important terminology

perfect set space displaystyle points closed cantor also topological cardinality topology subset isolated every aleph point approximated another isbn properties

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Perfect setrelated to Connection with other topological propertiesEvery0.60section
Perfect setrelated to Connection with other topological propertiesCantor0.60section
Perfect setrelated to Connection with other topological propertiesThis0.60section
Perfect setrelated to Connection with other topological propertiesPolish0.60section
Perfect setrelated to Connection with other topological propertiesBendixson0.60section

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    Min side: 3
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