摘要
在L-fuzzy拓扑空间上,研究了可数S*-紧和可数S-紧的相关性质和特征。并就可数S*-紧、可数S-紧以及S-Lindel¨of性质三者之间的关系进行了研究,得到了满足S-Lindelf性质的可数S*-紧空间为S*-紧空间等结论。
In this paper, the conceptions of countable S^＊-compaeuness and countable S-compactness are defined in L-fuzzy topological spaces. And many properties or characterizations of countable S^＊-compact- hess （countable S-compactness） are presented. Moreover the relationships between countable compactness and S-Lindeloef property are studied, and then draw a lots of conclusions such as, a countable S^＊-compact space with S-Lindeloef property is a S^＊-compact space.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第2期96-99,共4页
Fuzzy Systems and Mathematics
基金
山东省自然科学基金资助项目(Y2003A001)
