Completely regular compactifications
Anthony D'Aristotle (1971)
Fundamenta Mathematicae
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Displaying similar documents to “On internal characterizations of complete regularity and Wallman-type compactifications”
Completely regular compactifications
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....
An elementary proof of the Hewitt-Shirota theorem
J. Van der Slot (1969)
Compositio Mathematica
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A non-Tychonoff relatively normal subspace
Ellen Mir (2007)
Commentationes Mathematicae Universitatis Carolinae
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This paper presents a new consistent example of a relatively normal subspace which is not Tychonoff.