Remarks on dyadic spaces
R. Engelking, A. Pełczyński (1963)
Colloquium Mathematicae
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Displaying similar documents to “Continuous functions on countable subspaces”
Remarks on dyadic spaces
On dense subspaces satisfying stronger separation axioms
Ofelia Teresa Alas, Mihail G. Tkachenko, Vladimir Vladimirovich Tkachuk, Richard Gordon Wilson, Ivan V. Yashchenko (2001)
Czechoslovak Mathematical Journal
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We prove that it is independent of ZFC whether every Hausdorff countable space of weight less than has a dense regular subspace. Examples are given of countable Hausdorff spaces of weight which do not have dense Urysohn subspaces. We also construct an example of a countable Urysohn space, which has no dense completely Hausdorff subspace. On the other hand, we establish that every Hausdorff space of -weight less than has a dense completely Hausdorff (and hence Urysohn) subspace....
First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Separable extensions of first countable spaces
Eric van Douwen, Teodor Przymusiński (1980)
Fundamenta Mathematicae
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Non-normality and relative normality of Niemytzki plane
David Chodounský (2007)
Acta Universitatis Carolinae. Mathematica et Physica
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The topological product of countably compact spaces
Zdeněk Frolík (1960)
Czechoslovak Mathematical Journal
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On Hausdorff compactifications of non-locally compact spaces.
Hatzenbuhler, James, Mattson, Don A. (1979)
International Journal of Mathematics and Mathematical Sciences
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