Subparacompactness in locally nice spaces
Nobuyuki Kemoto (1989)
Fundamenta Mathematicae
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Displaying similar documents to “On a problem of Katětov”
Subparacompactness in locally nice spaces
Locally nice spaces under Martin's axiom
Zoltan Tibor Balogh (1983)
Commentationes Mathematicae Universitatis Carolinae
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Collectionwise normality and extensions of locally finite coverings
T. Przymusiński, M. Wage (1980)
Fundamenta Mathematicae
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A technique for constructing examples
van Douwen, Eric K.
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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...