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Monotonically normal space

In mathematics, specifically in the field of topology, a monotonically normal space is a particular kind of normal space, defined in terms of a monotone normality operator. It satisfies some interesting properties; for example metric spaces and linearly ordered spaces are monotonically normal, and every monotonically normal space is hereditarily normal.

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Monotonically normal space

Nodes23
Edges22
Triples6
Avg. degree1.91
Density0.086957
Components1

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Monotonically normal space

Top relations

related to Properties · 5
Monotonically normal space → Every, Hausdorff, Monotone, T5, The
is a · 1
Monotonically normal space → particular kind of normal space

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Important terminology

normal space monotonically displaystyle t1 every open mu ordered definition function assigns pair set monotone satisfies topology ii normality linearly

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SubjectPredicateObjectConfidenceSrc
Monotonically normal spaceis aparticular kind of normal space0.90text
Monotonically normal spacerelated to PropertiesMonotone0.60section
Monotonically normal spacerelated to PropertiesEvery0.60section
Monotonically normal spacerelated to PropertiesHausdorff0.60section
Monotonically normal spacerelated to PropertiesT50.60section
Monotonically normal spacerelated to PropertiesThe0.60section

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