Remarks on weakly star countable spaces

Y-K. Song; W-F. Xuan

Authors

Y-K. Song Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, P.R. China Author
W-F. Xuan School of Statistics and Mathematics, Nanjing Audit University, Nanjing 210093, P.R. China Author

Keywords:

Star countable, weakly star countable

Subjects:

54D20, 54A35

Abstract

A space $X$ is {\it weakly star countable} if for eachopen cover $U$ of $X$ there exists a countable subset $F$ of $X$ such that $\overset{―}{⋃_{x \in F} S t (x, U)} = X$ . Inthis paper, we investigate topological properties of weakly starcountable spaces.

Remarks on weakly star countable spaces

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