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By Mr (h: D, Maddalena (i-mess) Cammaroto, Bruno A. [pansera and Bruno Antonio (i-mess


Cent. Eur. J. Math. 9 (2011), no. 3, 583–592.1644-3616 Summary: “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 subspaces are discussed.

Topics: 9. Gruenhage G, Monotonically compact and monotonically Lindelöf spaces, Questions Answers
Year: 2000
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