L-双拓扑空间中几类弱连通性及其等价刻画  

Several Weakly Connectness and Their Equivalent Characterization in L-Bitopological Space

作　　者：王小霞[1] 姜金平[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《河南科学》2013年第9期1343-1345,共3页Henan Science

基　　金：国家自然科学基金资助项目(11171269);陕西省自然科学基础研究计划项目(2012JM1012);延安市科技计划项目(2012ks-01);延安大学科研项目(YDQ2013-06)

摘　　要：借助θ-闭包在L-双拓扑空间中引入BOs-θ连通性,WPOs-θ连通性及POs-θ连通性等概念,讨论了这三者之间的关系,得出WPOs-θ连通性是POs-θ连通性,BOs-θ连通性是POs-θ连通性,WPOs-θ连通性与BOs-θ连通性互不蕴含,最后研究了这三类弱连通性的等价刻画及性质.The concepts of BOs-θ connectness, WPOs -θ connectness and POs -θ connectness are researched by θ-closure in the L-bitopological space. Their relations are investigated. It is concluded that WPOs -θ conneetness is POs-θ connectness, BOs-θ connectness is POs-θ conneetness, and WPOs-O conneetness is different from BOs-θ conneetness. At last, their equivalent conditions and properties are studied.

关 键 词：L-双拓扑空间 BOs-θ连通性 WPOs-θ连通性 POs-θ连通性 

分 类 号：O189.13[理学—数学]