On the form of countable admissible ordinals
Nigel J. Cutland (1978)
Colloquium Mathematicae
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Displaying similar documents to “On concentrated sets”
On the form of countable admissible ordinals
First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Spaces of continuous characteristic functions
Raushan Z. Buzyakova (2006)
Commentationes Mathematicae Universitatis Carolinae
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We show that if is first-countable, of countable extent, and a subspace of some ordinal, then is Lindelöf.
Countable And Uncountable Covers
H. P. Tan (1973)
Publications de l'Institut Mathématique
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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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On functions defined on Cartesian products
R. Engelking (1966)
Fundamenta Mathematicae
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First countable spaces without point-countable π-bases
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (2007)
Fundamenta Mathematicae
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We answer several questions of V. Tkachuk [Fund. Math. 186 (2005)] by showing that ∙ there is a ZFC example of a first countable, 0-dimensional Hausdorff space with no point-countable π-base (in fact, the minimum order of a π-base of the space can be made arbitrarily large); ∙ if there is a κ-Suslin line then there is a first countable GO-space of cardinality κ⁺ in which the order of any π-base is at least κ; ∙ it is consistent to have a...