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Hilbert cube

In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology. Furthermore, many interesting topological spaces can be embedded in the Hilbert cube; that is, can be viewed as subspaces of the Hilbert cube (see below).

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Explore the main themes, entities and connections around Hilbert cube. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definition

The Hilbert cube as a metric space

Properties

Advanced semantic analysis

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Map overview Semantic statistics

Hilbert cube

Nodes36
Edges35
Triples25
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

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Hilbert cube

Top relations

related to Properties · 10
Hilbert cube → As, But, Cantor, Hausdorff, Hilbert, In, One, The, The Hilbert, Tychonoff
related to Definition · 6
Hilbert cube → Cartesian, Hilbert, In, Some, That, The Hilbert
related to The Hilbert cube as a metric space · 6
Hilbert cube → Any, For, Hilbert, It, One, That
is a · 3
Hilbert cube → convex set, infinite sequence, Polish space

Important terminology Word statistics

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Important terminology

cube hilbert displaystyle space topological homeomorphic compact product metric mathematics topology infinite right also countably sequence left subset ell every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hilbert cubeis ainfinite sequence0.90text
Hilbert cubeis aconvex set0.90text
Hilbert cubeis aPolish space0.90text
Hilbert cuberelated to DefinitionThe Hilbert0.60section
Hilbert cuberelated to DefinitionThat0.60section
Hilbert cuberelated to DefinitionIn0.60section
Hilbert cuberelated to DefinitionSome0.60section
Hilbert cuberelated to DefinitionHilbert0.60section
Hilbert cuberelated to DefinitionCartesian0.60section
Hilbert cuberelated to PropertiesAs0.60section
Hilbert cuberelated to PropertiesHausdorff0.60section
Hilbert cuberelated to PropertiesHilbert0.60section

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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