On Topological Spaces With Dense Completely Metrizable Subspaces
T. Nagamizu (1993)
Publications de l'Institut Mathématique
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Displaying similar documents to “On a Dense Gd-diagonal”
On Topological Spaces With Dense Completely Metrizable Subspaces
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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.
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Monotone weak Lindelöfness
Maddalena Bonanzinga, Filippo Cammaroto, Bruno Pansera (2011)
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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...
Remarks on dense subspaces
Eva Murtinová (2004)
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Some constructions of spaces with/without dense subspaces satisfying stronger separation axioms are presented.