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- W2792995159 abstract "A space X is selectively absolutely star-Lindelöf [1] , [3] if for each open cover U of X and any sequence ( D n : n ∈ ω ) of dense subsets of X , there are finite sets F n ⊆ D n ( n ∈ ω ) such that S t ( ⋃ n ∈ ω F n , U ) = X . In this paper, we continue to investigate topological properties of selectively absolute star-Lindelöf spaces, and show the following statements: (1) There exists a Tychonoff selectively a-star-Lindelöf, pseudocompact space X having a regular closed G δ subset which is not star-Lindelöf (hence not selectively a-star-Lindelöf); (2) Assuming 2 ℵ 0 = 2 ℵ 1 , there exists a normal selectively a-star-Lindelöf space X having a regular closed G δ subset which is not star-Lindelöf (hence not selectively a-star-Lindelöf); (3) An open F σ -subset of a selectively a-star-Lindelöf space is selectively a-star-Lindelöf; (4) For any cardinal κ , there exists a Tychonoff selectively a-star-Lindelöf, pseudocompact space X such that e ( X ) ≥ κ ." @default.
- W2792995159 created "2018-03-29" @default.
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- W2792995159 date "2018-05-01" @default.
- W2792995159 modified "2023-10-17" @default.
- W2792995159 title "Remarks on selectively absolute star-Lindelöf spaces" @default.
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- W2792995159 doi "https://doi.org/10.1016/j.topol.2018.02.033" @default.
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