Protometrizable space

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This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

Definition

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Relation with other properties

Stronger properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Metrizable space underlying topology of a metric space metrizable implies protometrizable protometrizable not implies metrizable |FULL LIST, MORE INFO
Manifold
Closed sub-Euclidean space

Weaker properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Elastic space
Monotonically normal space |FULL LIST, MORE INFO
Hereditarily normal space |FULL LIST, MORE INFO
Normal space |FULL LIST, MORE INFO
Collectionwise normal space |FULL LIST, MORE INFO
Hereditarily collectionwise normal space |FULL LIST, MORE INFO