Definition of Metrizable. Meaning of Metrizable. Synonyms of Metrizable

Here you will find one or more explanations in English for the word Metrizable. Also in the bottom left of the page several parts of wikipedia pages related to the word Metrizable and, of course, Metrizable synonyms and on the right images related to the word Metrizable.

Definition of Metrizable

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Meaning of Metrizable from wikipedia

- In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological...
- In mathematics, a completely metrizable space (metrically topologically complete space) is a topological space (X, T) for which there exists at least one...
- In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is...
- discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric...
- characterizes when a topological space is metrizable. The theorem states that a topological space X {\displaystyle X} is metrizable if and only if it is regular,...
- equivalent. Therefore, the lower limit topology on the real line is not metrizable. In second-countable spaces—as in metric spaces—compactness, sequential...
- if it is metrizable with a separable and complete metric. Locally metrizable. A space is locally metrizable if every point has a metrizable neighbourhood...
- In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time,...
- pseudometric space is a Baire space. In particular, every completely metrizable topological space is a Baire space. (BCT2) Every locally compact regular...
- (equipped with the topology induced by the uniform structure). Any (pseudo)metrizable space is uniformizable since the (pseudo)metric uniformity induces the...