Lω-空间的ω-Lindelf性质  

The ω-Lindelf Property in Lω-space

作　　者：凌思兰[1] 孟晗[1] 韩红霞[2] 于娜[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]运城学院应用数学系,山西运城044000

出　　处：《模糊系统与数学》2008年第2期92-95,共4页Fuzzy Systems and Mathematics

基　　金：山东省自然科学基金资助项目(Y2003A01)

摘　　要：在Lω-空间中引入ω-Lindelf性质和ω-Lindelf空间等概念,给出了其等价刻画,并证明它保持L-拓扑空间中许多良好的性质,如闭遗传性、L-好的推广、被连续的L值Zadeh型函数所保持。此外,引入了ω-紧性的概念,研究了其若干性质。In this paper, the concepts of ω-Lindeloef property and ω-Lindeloef space are introduced in Lω-space, and some of their equivalent characterizations are given. It is proved that many good properties in L-topology space are preserved, such as closely hereditary, good extension and weakly topology invariability. In addition, the notion of ω-compactness is given, some of their properties are studied.

关 键 词：模糊拓扑学 LΩ-空间 ω-Lindeloef空间 ω-Lindeloef性质 ω-紧性 La-ω-开覆盖 a^--ω-可数交性质 

分 类 号：O189[理学—数学]