Cantor集的余维数与上盒维数及其关系  

The relationship between Cantor set of codimension and its upper box dimension

作　　者：王小燕[1] 吴兴[1] 

机构地区：[1]华中师范大学数学与统计学学院,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2012年第2期134-136,共3页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(10771082)

摘　　要：讨论了齐次Cantor集和偏齐次Cantor集的上盒维数及余维数之间的关系,得到了齐次Cantor集和偏齐次Cantor集具有上盒维数和余维数相等的特性.In this paper, the authors discuss the relationship between the upper box di- mension and co-dimension on homogeneous Cantor sets and partial homogeneous Cantor sets. They get that both homogeneous Cantor sets and partial homogeneous Cantor sets have a property that their upper box dimension and co-dimension are equivalent.

关 键 词：齐次CANTOR集 偏齐次Cantor集 上盒维数 余维数 

分 类 号：O174.12[理学—数学]