Packing dimensions of homogeneous perfect sets

X. Wang; J. Wu

doi:10.1007/s10474-007-6145-z

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Acta Mathematica Hungarica

Volume/Issue:: Volume 118: Issue 1-2

Packing dimensions of homogeneous perfect sets

Authors:

X. Wang

X. Wang Hubei University of Economics School of Information Management Wuhan Hubei 430205 P.R. China

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J. Wu

J. Wu Huazhong University of Science and Technology Department of Mathematics Wuhan Hubei 430074 P.R. China

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Pages:: 29–39

Online Publication Date:: 11 Jul 2007

Publication Date:: 01 Jan 2008

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10474-007-6145-z

Keywords:: Hausdorff dimension; packing dimension; homogeneous perfect set; 28A80

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Abstract

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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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)