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On Relative 1½-StarLindelöfness

Song, Yan-Kui, and Han, Guang-Fa, and Li, Pi-Yu, (2006) On Relative 1½-StarLindelöfness. Bulletin of the Malaysian Mathematical Sciences Society, 29 (2). pp. 183-186. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p9.pdf

Affiliations

Nanjing Normal University, Dept. of Mathematics

Abstract

A subspace $Y$ of a space $X$ is strongly $1\frac{1}{2}$-starLindelöf in $X$ if for every open cover $\mathcal{U}$ of $X$, there exists a countable subset $\mathcal{V}$ of $\mathcal{U}$ such that $V\cap Y\neq \emptyset$ for each $V\in \mathcal{V}$ and $Y\subseteq St(\bigcup \mathcal{V}, \mathcal{U})$, where $St(\bigcup \mathcal{V}, \mathcal{U}) = \bigcup \{ U\in \mathcal{U}:U\cap \bigcup \mathcal{V} \neq \emptyset \}$. A subspace $Y$ of a space $X$ is $1\frac{1}{2}-$starLindelöf in $X$ if for every open cover $\mathcal{U}$ of $X$, there exists a countable subset $\mathcal{V}$ of $\mathcal{U}$ such that $Y\subseteq St(\cup \mathcal{V}, \mathcal{U})$. In this paper, we give an example to show the difference between relative strongly $1\frac{1}{2}$-starLindelöfness and relative $1\frac{1}{2}$-starLindelöfness.


2000 Mathematics Subject Classification: 54A25, 54D20

Item Type:Journal
Keywords:StarLindelöf, strongly 1½-starLindelöf
Subjects:Q Science, Computer Science
ID Code:1446

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