Displaying similar documents to “On spaces whose nowhere dense subsets are scattered.”

α -scattered spaces.

Rose, David A. (1998)

International Journal of Mathematics and Mathematical Sciences

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Strongly irresolvable spaces.

Rose, David, Sizemore, Kari, Thurston, Ben (2006)

International Journal of Mathematics and Mathematical Sciences

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On a Dense Gd-diagonal

A. V. Arhangel'skii, Ljubiša Kočinac (1990)

Publications de l'Institut Mathématique

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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.

Monotone weak Lindelöfness

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...