Subspaces of cs-starcompact spaces

Abstract

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