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Zero-dimensional space

In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. A graphical illustration of a zero-dimensional space is a point.

Properties of spaces with small inductive dimension zero, Definition & Manifolds

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Overview

Definition

Properties of spaces with small inductive dimension zero

Manifolds

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Map overview Semantic statistics

Zero-dimensional space

Nodes33
Edges32
Triples13
Avg. degree1.94
Density0.060606
Components1

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Zero-dimensional space

Top relations

related to Properties of spaces with small inductive dimension zero · 12
Zero-dimensional space → Arhangel'skii, Baire, Cantor, Examples, Hausdorff, However, If, Proposition, See, Such, Tkachenko, Zero-dimensional Polish
is a · 1
Zero-dimensional space → point

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Important terminology

zero-dimensional space dimension topological spaces respect inductive zero mathematics point hausdorff cantor topology one notions given small refinement isbn covering

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Zero-dimensional spaceis apoint0.90text
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroHausdorff0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroHowever0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroSee0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroArhangel'skii0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroTkachenko0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroProposition0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroZero-dimensional Polish0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroExamples0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroCantor0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroBaire0.60section
Zero-dimensional spacerelated to Properties of spaces with small inductive dimension zeroSuch0.60section

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