On Topological Spaces With Dense Completely Metrizable Subspaces
T. Nagamizu (1993)
Publications de l'Institut Mathématique
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T. Nagamizu (1993)
Publications de l'Institut Mathématique
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Jack Brown (1974)
Fundamenta Mathematicae
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G. Cox (1980)
Fundamenta Mathematicae
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Jan van Mill (1983)
Fundamenta Mathematicae
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Angelo Bella, Viacheslav I. Malykhin (1998)
Commentationes Mathematicae Universitatis Carolinae
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We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.
Arenas, F.G., Sánchez-Granero, M.A. (1999)
Divulgaciones Matemáticas
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Maddalena Bonanzinga, Filippo Cammaroto, Bruno Pansera (2011)
Open Mathematics
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The definition of monotone weak Lindelöfness is similar to monotone versions of other covering properties: X is monotonically weakly Lindelöf if there is an operator r that assigns to every open cover U a family of open sets r(U) so that (1) ∪r(U) is dense in X, (2) r(U) refines U, and (3) r(U) refines r(V) whenever U refines V. Some examples and counterexamples of monotonically weakly Lindelöf spaces are given and some basic properties such as the behavior with respect to products and...