Some articles on metrizable:
Moore Space (topology) - Normal Moore Space Conjecture
... so-called normal Moore space conjecture every normal Moore space is metrizable ... This was inspired by the fact that all known Moore spaces that were not metrizable were also not normal ... that the axiom of constructibility implies that locally compact, normal Moore spaces are metrizable ...
... so-called normal Moore space conjecture every normal Moore space is metrizable ... This was inspired by the fact that all known Moore spaces that were not metrizable were also not normal ... that the axiom of constructibility implies that locally compact, normal Moore spaces are 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 ... The Moore plane (also known as the Niemytski space) is an example of a non-metrizable Moore space ...
... Every metrizable space, X, is a Moore space ... Since all metrizable spaces are normal, all metric spaces are Moore spaces ... The Moore plane (also known as the Niemytski space) is an example of a non-metrizable Moore space ...
Nagata–Smirnov Metrization Theorem
... metrization 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 ... this theorem provides both a necessary and sufficient condition for a topological space to be metrizable ...
... metrization 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 ... this theorem provides both a necessary and sufficient condition for a topological space to be metrizable ...
Morita Conjectures
... every normal space Y, 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 ...
... every normal space Y, 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 ...
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 that (X, d) is a ... This is equivalent to the condition that X is metrizable and a Gδ in its Stone–Čech compactification βX ... is an example of a topological space that is metrizable but not completely metrizable ...
... 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 that (X, d) is a ... This is equivalent to the condition that X is metrizable and a Gδ in its Stone–Čech compactification βX ... is an example of a topological space that is metrizable but not completely metrizable ...
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