L-smooth半预开集与L-smooth半预连续  

L-smooth semi-preopen sets and L-smooth semi-precontinuity

作　　者：王延军[1] 马保国[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：《纺织高校基础科学学报》2006年第4期318-321,共4页Basic Sciences Journal of Textile Universities

基　　金：延安大学重点科研项目(2004-090)

摘　　要：在L-smooth拓扑空间中定义了r-半预开集,r-半预闭集、r-半预内部、r-半预闭包,研究了它们的一些基本性质;同时,引入了L-smooth半预连续映射、L-smooth半预开映射及L-smooth半预闭映射的概念,给出了它们的特征性质.从而,推广了已有的结果.r-semi-preopen sets, r-semi-preclosed sets, r-semi-preinterior and r-semi-preclosure are defined in L-smooth topological spaces, some of their basic properties are studied. Meanwhile,the concepts of L-smooth semi-precontinuous,semi-preopen as well as semi-preclosed mappings are introduced. Some of their characteristic properties are given. Therefore,the existing results are generalized.

关 键 词：L-SMOOTH拓扑空间 L-smooth r-半预开集 L-smooth半预连续映射 

分 类 号：O189.2[理学—数学]