Monotone weak Lindelöfness

• Autorzy: Maddalena Bonanzinga , Filippo Cammaroto , Bruno Pansera
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Monotone Lindelöfness; Weak Lindelöfness; Monotone weak Lindelöfness

Kategorie tematyczne

• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 3
• Strony: 583-592

Daty

wydano

2011-06-01

online

2011-03-22

Twórcy

autor

Maddalena Bonanzinga

• Università di Messina

autor

Filippo Cammaroto

• Università di Messina

autor

Bruno Pansera

• Università di Messina

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0025-z