L-双fuzzy拓扑空间中的θ-配紧性  

θ-pairwise Compactness in L-bifuzzy 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：《内蒙古师范大学学报（自然科学汉文版）》2009年第2期136-139,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

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

摘　　要：以θ-开集和θ-闭集为工具,在L-双fuzzy拓扑空间中引入双θ-拓扑空间及一种新的紧性,即θ-配紧性,揭示了θ-配紧性与B-配紧性之间的联系.针对全空间给出θ-配紧性的复盖式刻划,证明了θ-配紧性在双强θ-同胚映射下保持不变和对双θ-闭集的遗传性质,并给出θ-配紧性的Alexander子基引理.By θ-open sets and θ-closed sets,the notions of θ-bitopological space and a new compactness called O-pairwise compactness are introduced in L-bifuzzy topological space. The relations between θ-pair-wise compactness and B-pairwise compactness are shown,and a characterization of θ-pairwise compactness is provided for the whole space with the concept of covering. It is also proved that θ-pairwise compactness is preserved under strong θ-bihomeomorphisms,and it is hereditary with respect to θ-biclosed subsets. Finally,Alexander subbasis of θ-pairwise compactness is given.

关 键 词：L-双fuzzy拓扑空间 θ-闭集 B-配紧 θ-配紧 

分 类 号：O189.13[理学—数学]