Countable And Uncountable Covers
H. P. Tan (1973)
Publications de l'Institut Mathématique
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Displaying similar documents to “On the form of countable admissible ordinals”
Countable And Uncountable Covers
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.
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...
On concentrated sets
R. Gardner (1979)
Fundamenta Mathematicae
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First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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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 the reconstruction of countable forests.
F. Harary, A.J. Schwenk, R.L. Scott (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Definability of small puncture sets
Andrés Eduardo Caicedo, John Daniel Clemens, Clinton Taylor Conley, Benjamin David Miller (2011)
Fundamenta Mathematicae
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We characterize the class of definable families of countable sets for which there is a single countable definable set intersecting every element of the family.