Theorem
A topological space is metrisable if and only if it is regular, Hausdorff and has a countably locally finite base.
The Nagata-Smirnov metrization theorem gives a necessary and sufficient condition under which a space is metrisable.
A topological space is metrisable if and only if it is regular, Hausdorff and has a countably locally finite base.
Last revised on April 5, 2019 at 15:29:27. See the history of this page for a list of all contributions to it.