Continuous functions on countable subspaces

Mrowka, S.

Displaying similar documents to “Continuous functions on countable subspaces”

Remarks on dyadic spaces

R. Engelking, A. Pełczyński (1963)

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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 $c$ has a dense regular subspace. Examples are given of countable Hausdorff spaces of weight $c$ 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 $π$ -weight less than $𝔭$ 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)

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Eric van Douwen, Teodor Przymusiński (1980)

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David Chodounský (2007)

Acta Universitatis Carolinae. Mathematica et Physica

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