L ω-空间中的ω~*T_i分离性  

ω~*T_i Separation Axioms in Lω-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：《内蒙古师范大学学报（自然科学汉文版）》2006年第4期404-406,412,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：延安大学重点科研项目(yd2004-090)

摘　　要：在Lω-空间中引进一组新的分离公理,即ω*Ti分离公理(i=0,1,2),给出了它们的特征性质,证明了ω*Ti分离性具有可遗传性、可乘性和ω-同胚不变性,以及在R.Lowen意义下“好的推广”等重要性质,并且它们之间有很好的协调一致性.A set of new separation axioms, ω^＊ Ti （i= 0,1,2） separations, were introduced in Leo-spaces, and their equivalent characterizations were given. It is proved that the ω^＊ Ti separation axioms are herediary,multiplicativeness, ω-homeomorphic invariant as well as ‘R. Lowen-good extension’. Moreover, the harmonious relationships between them were discussed.

关 键 词：LΩ-空间 ω-远域 ω^＊Ti分离性 协调性 

分 类 号：O189.13[理学—数学]