浅谈Borel可测函数及其性质  

The Tray talks about Borel Measurable Function and Properties

作　　者：孟丽君[1] 慕嘉[1] 

机构地区：[1]兰州商学院长青学院,甘肃兰州730020

出　　处：《甘肃联合大学学报（自然科学版）》2010年第1期114-117,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：本文用实变函数与泛函分析的有关知识及集合的分析方法,对Borel可测函数的基数,Borel可测函数与连续函数的关系,Borel可测函数与Lebesgue可测函数的关系作了比较深入的研究,并得到了Borel可测函数一些新的结果.Using the knowledge in real analysis, functional analysis and method of set analysis, the cardinal number of the Borel measurable function was studied, the relationship between the Borel measurable function, the continuous function and the Lebesgue measurable function were discussed. Then some new result abouts Borel measurable function were Obtained.

关 键 词：BOREL集 Borel可测函数 基数 Σ代数 拓扑与拓扑空间 

分 类 号：O174.1[理学—数学]