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EnglishThe definition of monotone weak Lindelofness is similar to monotone versions of other covering properties: X is monotonically weakly Lindelof if there is an operator r that assigns to every open cover U a family of open sets r(U) so that (1) a(a)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 Lindelof spaces are given and some basic properties such as the behavior with respect to products and subspaces are discussed.
| Titolo: | Monotone weak Lindelofness |
| Autori: | |
| Data di pubblicazione: | 2011 |
| Rivista: | |
| Abstract: | The definition of monotone weak Lindelofness is similar to monotone versions of other covering properties: X is monotonically weakly Lindelof if there is an operator r that assigns to every open cover U a family of open sets r(U) so that (1) a(a)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 Lindelof spaces are given and some basic properties such as the behavior with respect to products and subspaces are discussed. |
| Handle: | http://hdl.handle.net/11570/1911694 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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