L-拓扑空间中的F*-仿紧性  

F*-Paracompactness in L-topological spaces

作　　者：刘红平[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学院,山东聊城252059

出　　处：《山东大学学报（理学版）》2008年第3期75-79,共5页Journal of Shandong University(Natural Science)

基　　金：山东省软科学基金资助项目(B2005049);教育部科学技术研究重点基金资助项目(206089)

摘　　要：在L-拓扑空间中引入F*-仿紧性,证明了这种仿紧性具有一些好的性质,比如-Lgood extension,闭遗传,及弱同胚不变性,F紧集与F*-仿紧集的乘积是F*-仿紧集,同时证明了F*-仿紧性可以增强分离性。最后讨论了与其他仿紧性之间的关系。F ＊ -paracompactness in L-topological spaces was introduced. It was proved that F ＊ -paracompactness has many good properties, such as that it is L-good extension, hereditary with respect to closed subsets, weakly in homeomorphic invariant property, and that the Cartesian product of a fuzzy compact space and a F ＊ -paracompact space is a F ＊ -paracompact space, as well as that a F ＊ -paracompact Hausdorff space is both a S^＊ -regular and a WS ^＊ -normal space. At last, a discussion about the relations of other paracompactnesses was given.

关 键 词：L-拓扑空间 局部有限 F＊-仿紧性 弱诱导空间 S^＊-正则 WS^＊-正规 

分 类 号：O189.13[理学—数学]