The box product of countably many metrizable spaces need not be normal
Eric van Douwen (1975)
Fundamenta Mathematicae
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Displaying similar documents to “On the metrizability of -spaces and its relationship to the normal Moore space conjecture”
The box product of countably many metrizable spaces need not be normal
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Teodor Przymusiński (1981)
Fundamenta Mathematicae
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On normality and countable paracompactness
G. Reed (1980)
Fundamenta Mathematicae
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Normality and Martin's axiom
K. Alster, T. Przymusiński (1976)
Fundamenta Mathematicae
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Normality and paracompactness in finite and countable Cartesian products
Teodor Przymusiński (1980)
Fundamenta Mathematicae
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A Lindelöf space X such that is normal but not paracompact
T. Przymusiński (1973)
Fundamenta Mathematicae
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Paracompactness and the Lindelöf property in finite and countable cartesian products
Ernest A. Michael (1971)
Compositio Mathematica
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Addition theorems and -spaces
Aleksander V. Arhangel'skii, Raushan Z. Buzyakova (2002)
Commentationes Mathematicae Universitatis Carolinae
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It is proved that if a regular space is the union of a finite family of metrizable subspaces then is a -space in the sense of E. van Douwen. It follows that if a regular space of countable extent is the union of a finite collection of metrizable subspaces then is Lindelöf. The proofs are based on a principal result of this paper: every space with a point-countable base is a -space. Some other new results on the properties of spaces which are unions of a finite collection of...