-scattered spaces.
Rose, David A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On spaces whose nowhere dense subsets are scattered.”
-scattered spaces.
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Monotone weak Lindelöfness
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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...