L-smooth半预开集与L-smooth半预不定映射  

L-smooth Semi-preopen Sets and L-smooth Semi-preirresolute Mappings

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：《云南师范大学学报（自然科学版）》2007年第4期15-19,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：陕西省教育厅专项科研基金项目(06JK152);延安大学重点科研项目(yd2004-090)

摘　　要：以文献[5]为基础,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半预不定映射、L-smooth半预不定开映射、L-smooth半预不定闭映射及L-smooth半预不定同构映射的概念,给出了它们的等价刻画,并系统的讨论了它们之间的关系,推广了已有的结果。In this paper,based on the paper[5 ] ,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 - preirresolute, semi - preirresolute open, semi - preirresolute closed as well as semi - preirresolute homeomorphic mappings are introduced. Some of their equivalent conditions are given and the relationships of them are systematically discussed, the existing re- suits are generalized.

关 键 词：L—smooth拓扑空间 L-smoothr-半预开集 L-smooth半预不定映射 

分 类 号：O189.1[理学—数学]