摘要
在L-fuzzy拓扑空间上引入了S-紧和S-仿紧的概念,证明了Tychonoff定理对S-紧是成立的;证明了弱诱导的L-fuzzy拓扑空间是S-仿紧的,当且仅当(X,[δ])是仿紧的。并且证明了满足S-T2分离性的S-仿紧的L-fuzzy拓扑空间是S-正则。
In L-fuzzy topological spaces, the concept of S-compactness and S-paracompactness are introduced, and some properties of S-compactness and S-paracompactness are proved. The Tchonoff Theorem for S-compactness is true. A weakly induced L-fuzzy topological space is S-compact if and only if （X, [δ]） is compact. Moreover a S-T2 S- paracompact space is S-regular.
出处
《模糊系统与数学》
CSCD
北大核心
2007年第5期59-63,共5页
Fuzzy Systems and Mathematics
基金
山东省自然科学基金资助项目(Y2003A001)
