加强的弱L-fuzzy Hausdorff空间及其性质  

Strengthened Weak L-fuzzy Hausdorff Spaces and Their Properties

作　　者：李尧龙[1] 

机构地区：[1]渭南师范学院数学系,陕西渭南714000

出　　处：《渭南师范学院学报》2004年第2期7-9,21,共4页Journal of Weinan Normal University

基　　金：渭南师范学院科研基金资助项目(03YKS002)

摘　　要：文章定义了加强的弱L fuzzyHausdorff空间,讨论了SRHausdorff空间与其他分离性的关系,给出了它的等价刻画.讨论了SRHausdorff分离性的一系列性质,证明了SRHausdorff分离性是可遗传的、弱同胚不变的、L-好的推广性质,并且具有可乘性.In the paper, the notion of strengthened weak L-fuzzy Hausdorff spaces is defined, relations between SR Hausdorff spaces and other separation are discussed, some equivalence theorems of SR Hausdorff spaces are illustrated, and a series of properties of SR Hausdorff separation are investigated. Thus it proves that the SR Hausdorff separation is of hereditary, weak homeomorphic invariant nature as well as L-good extension and multiplicativeness.

关 键 词：弱L-fuzzy HAUSDORFF空间 SRHausdorff空间 可遗传的 弱同胚不变 分子 远域 拓扑空间 

分 类 号：O189.11[理学—数学]