Packing dimensions of homogeneous perfect sets

被引：7
|
作者：
Wang, X. -Y. [1 ]
Wu, J. [2 ]
机构：
[1] Hubei Univ Econ, Sch Informat Management, Wuhan 430205, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2008年 / 118卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Hausdorff dimension; packing dimension; homogeneous perfect set;
D O I：
10.1007/s10474-007-6145-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [10], the notion of homogeneous perfect sets as a generalization of Cantor type sets is introduced and their Hausdorff and lower box-counting dimensions are studied. In this paper, we determine their exact packing and upper box-counting dimensions based on the length of their fundamental intervals and the gaps between them. Some known results concerning the dimensions of Cantor type sets are generalized.
引用
收藏
页码：29 / 39
页数：11
相关论文
共 50 条
12345