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.

MSC: 54D20, 54A35

Pages:  250--256     

Volume  70 ,  Issue  3 ,  2018