-proximity spaces
Giuseppe Di Maio, Somashekhar Naimpally (1991)
Czechoslovak Mathematical Journal
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Giuseppe Di Maio, Somashekhar Naimpally (1991)
Czechoslovak Mathematical Journal
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S. A. Peregudov (2000)
Commentationes Mathematicae Universitatis Carolinae
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Some results concerning spaces with countably weakly uniform bases are generalized for spaces with -in-countable ones.
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...