Countable And Uncountable Covers
H. P. Tan (1973)
Publications de l'Institut Mathématique
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Displaying similar documents to “First countable spaces without point-countable π-bases”
Countable And Uncountable Covers
A new way to find compact zero-dimensional first countable preimages of first countable compact spaces
Vladimir Vladimirovich Tkachuk (1988)
Commentationes Mathematicae Universitatis Carolinae
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On the reconstruction of countable forests.
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First countable and countable spaces all compactifications of which contain βN
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Countable fan-tightness versus countable tightness
Aleksander V. Arhangel'skii, Angelo Bella (1996)
Commentationes Mathematicae Universitatis Carolinae
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Countable tightness is compared to the stronger notion of countable fan-tightness. In particular, we prove that countable tightness is equivalent to countable fan-tightness in countably compact regular spaces, and that countable fan-tightness is preserved by pseudo-open compact mappings. We also discuss the behaviour of countable tightness and of countable fan-tightness under the product operation.