Lf-uzzy拓扑空间中的近似强F紧性  

The Nearly Strong F-Compactness in L-fuzzy Topological Spaces

作　　者：王倩倩[1] 孟广武[2] 

机构地区：[1]淮海工学院数理科学系,江苏连云港222005 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《烟台师范学院学报（自然科学版）》2006年第2期93-95,113,共4页Yantai Teachers University journal(Natural Science Edition)

基　　金：山东省自然科学基金资助项目(Y2003A01)

摘　　要：在LF拓扑空间中较系统地研究了近似强F紧性的特征及其拓扑性质,并讨论了近似强F紧性与强F紧性之间的关系.证明了近似强F紧性所具有的一些好的性质,比如它是正则闭遗传的,Thxohob乘积定理成立等等.The characterizations and the topological properties of the nearly F-compactness in L-fuzzy topological spaces are systematically studied. The relationship between the nearly strong F-compactness and the strong F-compactness is proved. Some good properties are found, for example, the nearly strong F-compactness is hereditary for the L-fuzzy regular closed subset and Thxohob Product Theorem is tenable.

关 键 词：L-FUZZY拓扑空间 强F紧性 近似强F紧性 M-聚点 

分 类 号：O189.1[理学—数学]