Separable extensions of first countable spaces
Eric van Douwen, Teodor Przymusiński (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Some applications of tiny sequences”
Separable extensions of first countable spaces
Generalized dyadic spaces
Murray Bell (1985)
Fundamenta Mathematicae
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On van Douwen spaces and retracts of
Alan S. Dow (2007)
Mathematica Bohemica
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Eric van Douwen produced in 1993 a maximal crowded extremally disconnected regular space and showed that its Stone-Čech compactification is an at most two-to-one image of . We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of expanding on earlier work of Balcar and Błaszczyk (1990) and Simon (1987).
Remarks on dyadic spaces
R. Engelking, A. Pełczyński (1963)
Colloquium Mathematicae
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Index of volumes 71-80 (1997-1999)
(1999)
Colloquium Mathematicae
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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 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....