Remarks on weakly star countable spaces


Y-K. Song, W-F. Xuan




A space $X$ is {ı 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.