Metrizable

Some articles on metrizable:

Moore Space (topology) - Examples and Properties
... Every metrizable space, X, is a Moore space ... Since all metrizable spaces are normal, all metric spaces are Moore spaces ... plane (also known as the Niemytski space) is an example of a non-metrizable Moore space ...
Moore Space (topology) - Normal Moore Space Conjecture
... prove the so-called normal Moore space conjecture every normal Moore space is metrizable ... fact that all known Moore spaces that were not metrizable were also not normal ... of constructibility implies that locally compact, normal Moore spaces are metrizable ...
Morita Conjectures
... is X discrete? If X × Y is normal for every normal P-space Y, is X metrizable ? If X × Y is normal for every normal countably paracompact space Y, is X metrizable and sigma-locally compact? Here a normal P-space Y ...
Completely Metrizable Space
... In mathematics, a completely metrizable space (complete topological space or topologically complete space) is a topological space (X, T) for which there exists at least one metric d on X such ... This is equivalent to the condition that X is metrizable and a Gδ in its Stone–Čech compactification βX ... The set of rational numbers is an example of a topological space that is metrizable but not completely metrizable ...
Nagata–Smirnov Metrization Theorem
... theorem in topology characterizes when a topological space is metrizable ... The theorem states that a topological space is metrizable if and only if it is regular and Hausdorff and has a countably locally finite (i.e ... a necessary and sufficient condition for a topological space to be metrizable ...