LF拓扑空间的正则闭T_i^(rc)(i=1,2)分离性  

Regular closed T_i^(rc)(i=1,2) separation on LF topological spaces

作　　者：苏淑华[1] 许兆龙[1] 

机构地区：[1]东华理工学院数学与信息科学学院,抚州344000

出　　处：《黑龙江大学自然科学学报》2007年第6期825-828,共4页Journal of Natural Science of Heilongjiang University

基　　金：东华理工学院院长基金资助项目(DHYK0614)

摘　　要：利用正则闭集概念在LF拓扑空间中引入了正则闭分离性Tirc(i=1,2)概念,给出了它们的刻画,证明了正则闭Tirc(i=1,2)分离性为正则同胚性质和拓扑性质,在LF拓扑空间的半正则化中Tirc分离性与Ti分离性是等价的。The regular closed Ti^rc （i = 1,2） separation is introduced and characterized in LF topological spaces by using regular closed set. It is proved that they have regular homeomorphic properties and topological properties, and that Ti^rc separation is equivalent to separation Ti in semi - regularization of LF topological spaces.

关 键 词：正则闭集 正则闭分离性 半正则化 

分 类 号：O189[理学—数学] O153.1[理学—基础数学]