L-smooth拓扑空间的弱T_2分离性  

Weak T_2 Separation Axiom on L-smooth Topological Spaces

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：《安徽师范大学学报（自然科学版）》2006年第5期423-425,共3页Journal of Anhui Normal University(Natural Science)

基　　金：陕西省教育厅专项基金资助项目(04JK3010);延安大学重点科研项目(yd2004-090)

摘　　要：以L-smooth拓扑空间中的远域为工具,在L-smooth拓扑空间中引入弱T2分离公理,给出它的等价刻划及其与T2、T1-分离公理之间的关系.证明了弱T2分离性是L-smooth可遗传的、L-smooth可乘的、弱L-smooth同胚的.In this paper, the concept of weak T2 separation axiom is introduced by using remote neighborhood of L-smooth topological spaces. And also, the equivalent conditions and the relationships between weak T2 and T2, T1^- separation axiom are given. As for the weak T2 separation axiom, it is proved that L-smooth hereditary, multiplicativity and weak homeomorphic properties are all right.

关 键 词：L-SMOOTH拓扑空间 L-smooth远域 L-smooth弱T2分离性 

分 类 号：O189.1[理学—数学]