Subspaces of cs-starcompact spaces

Authors

  • Yan-Kui Song Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, P.R of China Author

Keywords:

Countable compact, cs-starcompact

Subjects:

54D20, 54G20

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 $St(S,{\Cal U})=\bigcup\{Uın{\Cal U}:U\cap S\neq\emptyset\}$. In this note,we investigate the closed subspaces of cs-starcompact spaces.

Published

2009-04-15