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Results tagged with gn.general-topology
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user 41166
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
6
votes
2
answers
3k
views
Locally compact space that is not topologically complete
It is know that for a metric space, it is locally compact and separable iff exist an equivalent metric where a set is compact iff it is closed and limited. So, locally compact and seperable metric spa …
11
votes
1
answer
808
views
Completely Metrizable Space and Baire Theorem
Is well know that completely metrizable spaces are Baire's spaces. Reciprocally, if $X$ is a Baire's metric space, then $X$ is completely metrizable?