A subclass of the class MOBI
H. Bennett, J. Chaber (1990)
Fundamenta Mathematicae
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H. Bennett, J. Chaber (1990)
Fundamenta Mathematicae
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J. Chaber (1976)
Fundamenta Mathematicae
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Hatzenbuhler, James, Mattson, Don A. (1979)
International Journal of Mathematics and Mathematical Sciences
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Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Vladimir Vladimirovich Tkachuk (1988)
Commentationes Mathematicae Universitatis Carolinae
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R. Engelking (1966)
Fundamenta Mathematicae
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Janković, Dragan, Konstadilaki, Chariklia (1996)
Mathematica Pannonica
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Aleksander V. Arhangel'skii (2010)
Commentationes Mathematicae Universitatis Carolinae
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Some strong versions of the Fréchet-Urysohn property are introduced and studied. We also strengthen the concept of countable tightness and generalize the notions of first-countability and countable base. A construction of a topological space is described which results, in particular, in a Tychonoff countable Fréchet-Urysohn space which is not first-countable at any point. It is shown that this space can be represented as the image of a countable metrizable space under a continuous pseudoopen...