摘要
本文介绍了半连续函数的定义并利用有限覆盖定理证明了上(下)半连续函数有上(下)界的这一重要性质,从而推广了上(下)半连续函数的某些性质并给出相应的证明.
In this paper,we will introduce semi -continuous function and prove a piece of valuable nature about semi -continuous function with the theorem of finite covering. Then we will prove some nature of semi - continuous function.
出处
《天津理工大学学报》
2007年第4期59-60,共2页
Journal of Tianjin University of Technology
关键词
连续
上半连续
下半连续
上界
下界
有限覆盖
continuous
upper semi-continuous
lower semi-contiuous
bounded from above
bounded from below
finite covering
