一类可数紧集的计盒维数  

Box Dimension on Class A of Countable Compact Sets

作　　者：邓国泰[1] 蔡宇泽[2] 

机构地区：[1]华中师范大学,武汉430079 [2]沙洲职业工学院,张家港215600

出　　处：《沙洲职业工学院学报》2002年第2期1-4,共4页Journal of Shazhou Professional Institute of Technology

摘　　要：对n维实数空间上紧的可数集的计盒维数的若干性质进行讨论。由于计盒维数不具有可数稳定性,对任意的大于等于零小于等于n实数s,构造n维实数空间上紧的可数集F,使得F的计盒维数等于s。This paper discusses some characters of countable compact sets in n -dimension real number space Rn . Since box dimension doesn't have countable stabilization, for all positive number s<n, where is a integer, we can find a countable compact set F of Rn whose box dimension equals to s. 

关 键 词：紧集 可数集 实数 计盒维数 空间 性质 构造 稳定性 

分 类 号：O144[理学—数学] TP313[理学—基础数学]