L-双拓扑空间中几类弱连通性及其等价刻画

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-θconnectness,WPOs-θconnectness and POs-θconnectness are researched byθ-closure in the L-bitopological space. Their relations are investigated. It is concluded that WPOs-θ connectness is POs-θconnectness,BOs-θconnectness is POs-θconnectness,and WPOs-θconnectness is different from BOs-θconnectness. At last,their equivalent conditions and properties are studied.