Spaces of continuous characteristic functions

Raushan Z. Buzyakova

Displaying similar documents to “Spaces of continuous characteristic functions”

First countable and countable spaces all compactifications of which contain βN

Eric van Douwen, Teodor Przymusiński (1979)

Fundamenta Mathematicae

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Countable And Uncountable Covers

H. P. Tan (1973)

Publications de l'Institut Mathématique

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On the extent of star countable spaces

Ofelia Alas, Lucia Junqueira, Jan Mill, Vladimir Tkachuk, Richard Wilson (2011)

Open Mathematics

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For a topological property P, we say that a space X is star Pif for every open cover Uof the space X there exists Y ⊂ X such that St(Y,U) = X and Y has P. We consider star countable and star Lindelöf spaces establishing, among other things, that there exists first countable pseudocompact spaces which are not star Lindelöf. We also describe some classes of spaces in which star countability is equivalent to countable extent and show that a star countable space with a dense σ-compact subspace...

On the form of countable admissible ordinals

Nigel J. Cutland (1978)

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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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Countable fan-tightness versus countable tightness

Aleksander V. Arhangel&#039;skii, Angelo Bella (1996)

Commentationes Mathematicae Universitatis Carolinae

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Countable tightness is compared to the stronger notion of countable fan-tightness. In particular, we prove that countable tightness is equivalent to countable fan-tightness in countably compact regular spaces, and that countable fan-tightness is preserved by pseudo-open compact mappings. We also discuss the behaviour of countable tightness and of countable fan-tightness under the product operation.