Lusin properties in the product space
G. Cox (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Autohomeomorphisms on ”
Lusin properties in the product space
Lusin density and Ceder's differentiable restrictions of arbitrary real functions
Jack Brown (1974)
Fundamenta Mathematicae
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Remarks on dense subspaces
Eva Murtinová (2004)
Czechoslovak Mathematical Journal
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Some constructions of spaces with/without dense subspaces satisfying stronger separation axioms are presented.
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....
More Lusin properties in the product space
G. Cox (1981)
Fundamenta Mathematicae
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Irresolvable countable spaces of weight less than
Viacheslav I. Malykhin (1999)
Commentationes Mathematicae Universitatis Carolinae
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We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .