EMIS ELibM Electronic Journals MATEMATI‚ČKI VESNIK
Vol. 70, No. 3, pp. 250–256 (2018)

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Remarks on weakly star countable spaces

Y-K. Song and W-F. Xuan

School of Statistics and Mathematics, Nanjing Audit University, Nanjing 210093, P.R. China E-mail: wfxuan@nau.edu.cn

Abstract: A space $X$ is {\it weakly star countable} if for each open cover $U$ of $X$ there exists a countable subset $F$ of $X$ such that $\overline{\bigcup_{x\in F}St(x, U)}=X$. In this paper, we investigate topological properties of weakly star countable spaces.

Keywords: Star countable; weakly star countable.

Classification (MSC2000): 54D20; 54A35

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