On spaces whose nowhere dense subsets are scattered.

Dontchev, Julian; Rose, David

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$α$ -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&#039;skii, Ljubiša Kočinac (1990)

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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.

A class of topologies with $T_{1}$ -complements

B. Anderson (1970)

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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...

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

α -scattered spaces.

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On a Dense Gd-diagonal

Remarks on dense subspaces

A class of topologies with T 1 -complements

Monotone weak Lindelöfness

$α$ -scattered spaces.

A class of topologies with $T_{1}$ -complements