Definition of Metrizability. Meaning of Metrizability. Synonyms of Metrizability

- 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...
- (instead, it is a subcategory of the category of metric spaces). Complete metrizability is a topological property while completeness is a property of the metric...
- of metrizability", J. Inst. Polytech. Osaka City Univ. Ser. A. 1 (1950), 93–100. Y. Smirnov, "A necessary and sufficient condition for metrizability of...
- In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is...
- if it is metrizable with a separable and complete metric. Locally metrizable. A space is locally metrizable if every point has a metrizable neighbourhood...
- on a topological space, requiring only a separation axiom to imply metrizability. A continuous, open image of a second-countable space is second-countable...
- topological manifold that is not metrizable nor paracompact. Since metrizability is such a desirable property for a topological space, it is common to...
- completely metrizable (often called (metrically) topologically complete), or that it is Čech-complete (a property coinciding with completely metrizability on...
- In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time,...
- (equipped with the topology induced by the uniform structure). Any (pseudo)metrizable space is uniformizable since the (pseudo)metric uniformity induces the...