Lω-空间的ω-Lindelf可数性  

Theω-Lindelf Property on Lω-Space

作　　者：凌思兰[1] 李立群 孟晗[1] 

机构地区：[1]聊城大学 数学科学学院,山东聊城252059 [2]山东省农业干部管理学院,山东济南250100

出　　处：《聊城大学学报（自然科学版）》2007年第2期4-5,8,共3页Journal of Liaocheng University:Natural Science Edition

基　　金：山东省自然科学基金(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,L值Zadeh型函数下像保持不变等.In this paper,the concepts of ω- Lindelof property and ω- Lindelof 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- strong compactness is given;some of their properties are studied.

关 键 词：模糊拓扑学 LΩ-空间 ω-Lindelof性质 La-ω-开覆盖 

分 类 号：O189.13[理学—数学] O159[理学—基础数学]