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Moore plane

In mathematics, the Moore plane, also sometimes called Niemytzki plane (or Nemytskii plane, Nemytskii's tangent disk topology), is a topological space. It is a completely regular Hausdorff space (that is, a Tychonoff space) that is not normal. It is an example of a Moore space that is not metrizable. It is named after Robert Lee Moore and Viktor…

Properties, Definition & Proof that the Moore plane is not normal

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Definition

Properties

Proof that the Moore plane is not normal

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Moore plane

Nodes28
Edges27
Triples9
Avg. degree1.93
Density0.071429
Components1

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Moore plane

Top relations

related to Properties · 8
Moore plane → Gamma, Hausdorff, Lindelöf, Moore, The, The Moore, Thus, Tychonoff
is a · 1
Moore plane → completely regular Hausdorff space

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Important terminology

plane moore space displaystyle normal topology gamma subspace mathbb closed points continuous functions nemytskii separable also local basis countable discrete

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Moore planeis acompletely regular Hausdorff space0.90text
Moore planerelated to PropertiesThe Moore0.60section
Moore planerelated to PropertiesGamma0.60section
Moore planerelated to PropertiesHausdorff0.60section
Moore planerelated to PropertiesTychonoff0.60section
Moore planerelated to PropertiesThe0.60section
Moore planerelated to PropertiesThus0.60section
Moore planerelated to PropertiesMoore0.60section
Moore planerelated to PropertiesLindelöf0.60section

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