弱L-余拓扑空间及其连通性  

Weakly L-cotopology spaces and their connectness

作　　者：李海洋[1] 李尧龙[2] 李生刚[3] 

机构地区：[1]西安工程科技学院理学院,陕西西安710048 [2]渭南师范学院数学系,陕西渭南714000 [3]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2006年第2期110-114,共5页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10271069);渭南师范学院重点科研基金资助项目(06YKF010)

摘　　要：定义了弱L-余拓扑空间,弱L-闭包算子及弱L-连续影射的概念.证明了弱L-余拓扑空间与弱L-闭包算子具有一一对应关系.讨论了弱L-连续影射的性质,研究了弱L-余拓扑空间的连通性并且证明了弱L-余拓扑空间的樊畿定理.The notions of weak L-cotopological space , weak L-closure opertor and weak L-continuous maps between them were defined. One-to-one correspondence of weak L-cotopological space and weak L-closure opertor were proved. The properties of weak L-continuous maps were discussed. At last, the connectness of weak L-cotopological spaces were studied, and the K. Fan＇s theorem on the connectness of a weak L-cotopological space was proved.

关 键 词：弱L-余拓扑空间 弱L-闭包算子 弱L-连续影射 连通性 樊畿定理 

分 类 号：O189[理学—数学]