Packing dimensions of homogeneous perfect sets

被引：0
|
作者：
X. -Y. Wang
J. Wu
机构：
[1] Hubei University of Economics,School of Information Management
[2] Huazhong University of Science and Technology,Department of Mathematics
来源：
Acta Mathematica Hungarica | 2008年 / 118卷
关键词：
Hausdorff dimension; packing dimension; homogeneous perfect set; 28A80;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：29 / 39
页数：10
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