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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Displaying similar documents to “On functions defined on Cartesian products”
A new way to find compact zero-dimensional first countable preimages of first countable compact spaces
First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Tightness and resolvability
Angelo Bella, Viacheslav I. Malykhin (1998)
Commentationes Mathematicae Universitatis Carolinae
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We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.
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...