Distinguishing Lindelöfness and inverse Lindelöfness

Viacheslav I. Malykhin

Displaying similar documents to “Distinguishing Lindelöfness and inverse Lindelöfness”

The one-point Lindelöfication of an uncountable discrete space can be surlindelöf

Oleg Okunev (2013)

Open Mathematics

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We prove that the one-point Lindelöfication of a discrete space of cardinality ω 1 is homeomorphic to a subspace of C p (X) for some hereditarily Lindelöf space X if the axiom [...] holds.

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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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...