多维空间中点的密度与近似连续函数  

Density of Points of Multi-Dimensional Space and Approximate Continuous Function

作　　者：贺志明[1] 姚春临[1] 刘军[1] 

机构地区：[1]江汉大学数学与计算机科学学院,湖北武汉430056

出　　处：《江汉大学学报（自然科学版）》2015年第6期501-504,共4页Journal of Jianghan University：Natural Science Edition

摘　　要：给出可测集中点的密度的简单性质;推广一元近似连续函数到多元情形,得到可测函数与近似连续函数之间的关系。The simple properties of the density of the points in measurable sets are given. The author generalizes one element approximately continuous function to multivariate case, and the relations between the measurable functions and the approximate continuous functions are obtained.

关 键 词：可测集 密度 可测函数 近似连续函数 N维空间 

分 类 号：O174.12[理学—数学]