Countable And Uncountable Covers
H. P. Tan (1973)
Publications de l'Institut Mathématique
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H. P. Tan (1973)
Publications de l'Institut Mathématique
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Vladimir Vladimirovich Tkachuk (1988)
Commentationes Mathematicae Universitatis Carolinae
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F. Harary, A.J. Schwenk, R.L. Scott (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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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.