一种新的L-fuzzy仿紧性  

A New Paracompactness in L-fuzzy Topological Spaces

作　　者：胡凯[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》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)

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.

关 键 词：模糊拓扑学 βα-开覆盖 S-紧 S-仿紧 S-局部有限 S-T2 S-正则 

分 类 号：O159[理学—数学]