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- W3176916054 abstract "A space $ X $ is said to be set star-Lindelof (resp., set strongly star-Lindelof) if for each nonempty subset $ A $ of $ X $ and each collection $ mathcal{U} $ of open sets in $ X $ such that $ overline{A} subseteq bigcup mathcal{U} $, there is a countable subset $ mathcal{V}$ of $ mathcal{U} $ (resp., countable subset $ F $ of $ overline{A} $) such that $ A subseteq {rm St}( bigcup mathcal{V}, mathcal{U})$ (resp., $ A subseteq {rm St}( F, mathcal{U})$). The classes of set star-Lindelof spaces and set strongly star-Lindelof spaces lie between the class of Lindelof spaces and the class of star-Lindelof spaces. In this paper, we investigate the relationship among set star-Lindelof spaces, set strongly star-Lindelof spaces, and other related spaces by providing some suitable examples and study the topological properties of set star-Lindelof and set strongly star-Lindelof spaces." @default.
- W3176916054 created "2021-07-05" @default.
- W3176916054 creator A5014837310 @default.
- W3176916054 date "2020-07-01" @default.
- W3176916054 modified "2023-09-27" @default.
- W3176916054 title "Star versions of Lindelof spaces" @default.
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