L-拓扑空间中的W-仿紧性  

W-paracompactness in L-topological Spaces

作　　者：刘红平[1,2] 孟广武[2] 于跃[2] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》2009年第5期135-140,共6页Fuzzy Systems and Mathematics

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

摘　　要：利用α-局部有限族在L-拓扑空间中定义了一种新型强F仿紧性——W-仿紧性,证明了这种仿紧性具有一些好的性质,比如L-good extension,闭遗传,弱同胚不变性,强F紧集与W-仿紧集的乘积是W-仿紧集。并同时证明了W-仿紧性可以增强分离性,最后讨论了W-仿紧性与其他仿紧性之间的关系。By the concept of α-locally finite family,we introduce a new strong fuzzy paracompactness called W-paracompactness in L-fuzzy topological spaces. it is proved that W-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 strong fuzzy compact space and a W-paracompact space is a W-paracompact space,as well as that a W-paracompact Hausdorff space is both a regular and a normal space. At last,we have a discussion about the relations of W-paracompacmess and other paracompactness.

关 键 词：L-拓扑空间 α-局部有限 W-仿紧性 S＊正则 S＊正规 

分 类 号：O189[理学—数学]