L-拓扑空间的SR-F可数紧性  

SR-F 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：《汕头大学学报（自然科学版）》2009年第1期8-12,共5页Journal of Shantou University：Natural Science Edition

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

摘　　要：在L-拓扑空间中引入SR-F可数紧性,给出其α-有限交式、覆盖式等刻画.并证明了SR-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-F countable compactness is introduced in L-topological, and its characterizations with a-finite intersection and cover are given. It is shown that SR-F countable compactness has many properties. The sum of finite SR-F countable compact sets is a SR-F countable compact set, and it is muhiplicative, hereditary with respect to semi-regular close subset, L-good extension.

关 键 词：L-拓扑空间 SR-F可数紧性 α-有限交性质 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]