摘要
首先引入上半一致收敛的概念.然后利用上半一致收敛定义了半连续函数集上的闭包运算,同时赋予了半连续函数集在此运算下的拓扑.最后得出了此空间为T3空间.
This paper first introduces the notion of semi-uniform convergence, and then uses this notion to define the formulation of closure which is defined on the set of all semi-continuous function. Meanwhile, the topology of the set mentioned above is given by means of closure formulation. Finally, it is proved that this topological space is T3.
出处
《西南民族大学学报(自然科学版)》
CAS
2011年第2期212-215,共4页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金(10671134)
关键词
上半一致收敛
闭包
邻域基
T3空间
semi-uniform convergance
closure
neighbourhood base
T3-space