L-拓扑空间的SR强F可数紧性  

SR-stong Fuzzy Countable Compactness in L-topological Spaces

作　　者：刘红平[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：《聊城大学学报（自然科学版）》2008年第2期12-14,41,共4页Journal of Liaocheng University:Natural Science Edition

基　　金：教育部科学技术研究重点项目(206089);山东省软科学技术项目(B2005049)

摘　　要：在L-拓扑空间中引入SR强F可数紧性,给出了其α-有限交式、覆盖式等刻划.并证明了SR强F可数紧性具有有限可和,可乘,对半正则闭子集遗传,L-good extension等许多性质.SR strong fuzzy countable compactness is introduced in L-topological, and its characterizations with α-finite intersection and cover are given. It is shown that SR strong fuzzy countable compactness has many properties,For instance,the sum of finite SR strong fuzzy countable compact sets is a SR strong fuzzy countable compact set,it is multiplicative,hereditary with respect to semi-regular close subset ,L-good extension and so on.

关 键 词：L-拓扑空间 SR强F可数紧性 α-有限交性质 

分 类 号：O189.1[理学—数学] O189.11[理学—基础数学]