A survey of the theory of generalized metric spaces
Nagata, J.
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Displaying similar documents to “A metrization theorem”
A survey of the theory of generalized metric spaces
On normality and countable paracompactness
G. Reed (1980)
Fundamenta Mathematicae
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On countably paracompact spaces and closed maps
Harley, P.W. III (1989)
Portugaliae mathematica
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Normality and paracompactness in subsets of product spaces
Teodor Przymusiński (1976)
Fundamenta Mathematicae
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Base-base paracompactness and subsets of the Sorgenfrey line
Strashimir G. Popvassilev (2012)
Mathematica Bohemica
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A topological space is called base-base paracompact (John E. Porter) if it has an open base such that every base has a locally finite subcover . It is not known if every paracompact space is base-base paracompact. We study subspaces of the Sorgenfrey line (e.g. the irrationals, a Bernstein set) as a possible counterexample.
Normality and paracompactness of Pixley-Roy hyperspaces
Teodor Przymusiński (1981)
Fundamenta Mathematicae
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A proof of the Moore metrization theorem
Eugene P. Rozycki, Diane Schmidt (1970)
Colloquium Mathematicae
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Perfect pre-images of cofinally complete metric spaces
Adalberto García-Máynez, Salvador Romaguera (1999)
Commentationes Mathematicae Universitatis Carolinae
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We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.