学术
国际标准刊号：ISSN 0255-7797
国内统一刊号：CN 42-1091
摘 要:
本文研究了填充维数与上盒维数的关系．利用Cantor-Bendixson定理的方法，得到了由上盒维数给出的填充维数的等价定义．并证明了齐次Moran集对上盒维数和填充维数的连续性．[著者文摘]
文章出处:
《数学杂志》-2008年28卷2期 -145-149页
Journal of Mathematics
分 类 号:
文献标识码:
A
文章编号:
0255-7797（2008）02-0145-05
[参考文献]
AN EQUIVARENT DEFINITION FOR PACKING DIMENSION
SHEN Zhong-huan （College of Science, China Three Gorges University, Yichang 443002, China. ）
Abstract:
In this paper, we discuss the relation between packing dimension and upper box dimension. By applying a technique of Cantor-Bendixson Theorem, we give another equivarent definition for packing dimension expressed by upper box dimension. And we prove the continuity of upper box dimension and packing dimension for homogeneous Moran set.[著者文摘]
Key words:
packing dimension; upper box dimension; homogeneous Moran set
收稿日期: 2005-09-26
修订日期: 2006-04-19
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