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LF拓扑空间的正则闭T_i~(rc)(i=1,2)分离性
引用本文:苏淑华,许兆龙. LF拓扑空间的正则闭T_i~(rc)(i=1,2)分离性[J]. 黑龙江大学自然科学学报, 2007, 0(6)
作者姓名:苏淑华  许兆龙
作者单位:东华理工学院数学与信息科学学院 抚州344000
基金项目: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。

关 键 词:正则闭集  正则闭分离性  半正则化

Regular closed T_i~(rc)(i=1,2) separation on LF topological spaces
Su Shuhua,Xu Zhaolong. Regular closed T_i~(rc)(i=1,2) separation on LF topological spaces[J]. Journal of Natural Science of Heilongjiang University, 2007, 0(6)
Authors:Su Shuhua  Xu Zhaolong
Abstract:The regular closed T rci(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 T rci separation is equivalent to separation Ti in semi-regularization of LF topological spaces.
Keywords:regular closed set  regular closed separation  semi-regularization
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