Displaying similar documents to “On proximities generated by countable families of entourages”

D -proximity spaces

Giuseppe Di Maio, Somashekhar Naimpally (1991)

Czechoslovak Mathematical Journal

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On n -in-countable bases

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 n -in-countable ones.

A construction of a Fréchet-Urysohn space, and some convergence concepts

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...