Cantor's intersection theorem

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Statement for real numbers

Closed Bounded Real numbers Heine–Borel theorem Metric spaces

9 related topics

Topological statement

Topological space Hausdorff Open cover

3 related topics

Alternate version of the topological statement

Compact space Finite intersection property Subspace topology

3 related topics

Variant in complete metric spaces

Complete metric space Diameters Cauchy sequence

3 related topics

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Overview

Topological statement

Topological space
Hausdorff Hausdorff space
Open cover Cover (topology)

Alternate version of the topological statement

Statement for real numbers

Closed Closed set
Bounded Bounded set
Real numbers Real number
Heine–Borel theorem
Metric spaces Metric space
Rational numbers Rational number
Cantor set
Monotone convergence theorem
Limit point Limit of a sequence

Variant in complete metric spaces

Advanced semantic analysis

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Map overview Semantic statistics

Nodes28

Edges27

Triples12

Avg. degree1.93

Density0.071429

Components1

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Cantor's intersection theorem

Top relations

related to References · 8

Cantor's intersection theorem → An, Cambridge University Press, Eric, ISBN, Jonathan Lewin, MathWorld, Section, Weisstein

related to Variant in complete metric spaces · 4

Cantor's intersection theorem → Cantor's, In, Suppose, Theorem

Important terminology Word statistics

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Important terminology

displaystyle closed intersection theorem sequence bounded subsets geq since nested non-empty sets compact numbers complete metric real space set also

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Cantor's intersection theorem	related to References	Weisstein	0.60	section
Cantor's intersection theorem	related to References	Eric	0.60	section
Cantor's intersection theorem	related to References	MathWorld	0.60	section
Cantor's intersection theorem	related to References	Jonathan Lewin	0.60	section
Cantor's intersection theorem	related to References	An	0.60	section
Cantor's intersection theorem	related to References	Cambridge University Press	0.60	section
Cantor's intersection theorem	related to References	ISBN	0.60	section
Cantor's intersection theorem	related to References	Section	0.60	section
Cantor's intersection theorem	related to Variant in complete metric spaces	In	0.60	section
Cantor's intersection theorem	related to Variant in complete metric spaces	Cantor's	0.60	section
Cantor's intersection theorem	related to Variant in complete metric spaces	Theorem	0.60	section
Cantor's intersection theorem	related to Variant in complete metric spaces	Suppose	0.60	section

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Statement for real numbers

Topological statement

Alternate version of the topological statement

Variant in complete metric spaces

Key facts & relationships

Topics to explore

Overview

Topological statement

Alternate version of the topological statement

Statement for real numbers

Variant in complete metric spaces

Advanced semantic analysis

Map overview Semantic statistics

Cantor's intersection theorem

How this topic connects Entity context

Cantor's intersection theorem

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges