Abstract

A space $X$ is cs-starcompact if for every open cover $\Cal U$ of $X$, there exists a convergent sequence $S$ of $X$ such that $St(S,\Cal U)=X$, where $St(S,{\Cal U})=\bigcup\{U\in{\Cal U}:U\cap S\neq\emptyset\}$. In this note, we investigate the closed subspaces of cs-starcompact spaces.

Keywords: Countable compact; cs-starcompact.

MSC: 54D20, 54G20

Pages:  149--152     

Volume  61 ,  Issue  2 ,  2009