Definition of Metrisable. Meaning of Metrisable. Synonyms of Metrisable

- 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...
- \Rightarrow } 2 holds, since in particular any properly metrisable space is countable union of compact metrisable and thus separable (cf. properties of compact...
- In mathematics, a completely metrizable space (metrically topologically complete space) is a topological space (X, T) for which there exists at least one...
- logic. Marczewski proved that the topological dimension, for arbitrary metrisable separable space X, coincides with the Hausdorff dimension under one of...
- consisting of clopen sets. The three notions above agree for separable, metrisable spaces.[citation needed][clarification needed] A zero-dimensional Hausdorff...
- being normal. Every locally compact group which is first-countable is metrisable as a topological group (i.e. can be given a left-invariant metric compatible...
- if every Cauchy sequence converges. Completely metrizable/completely metrisable See complete space. Completely normal A space is completely normal if...
- is a uniform space (such as any metric space or any topological group, metrisable or not), there is the topology of compact convergence on the set F ( X...
- emphasis on applications to non-metrisable manifolds and topological properties of manifolds close to metrisability. Gauld has aut****d two monographs...
- The separation axioms, as a group, became important in the study of metrisability: the question of which topological spaces can be given the structure...