On the Hausdorff and packing measures of typical compact metric spaces

被引：28

作者：

Jurina, S. ^{[1
]}

MacGregor, N. ^{[1
]}

Mitchell, A. ^{[1
]}

Olsen, L. ^{[1
]}

Stylianou, A. ^{[1
]}

机构：

[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland

来源：

AEQUATIONES MATHEMATICAE | 2018年 / 92卷 / 04期

关键词：

Box dimension; Compact metric space; The Gromov-Hausdorff metric; Hewitt-Stromberg measure Hausdorff measure; Packing measure; SETS; DIMENSIONS;

D O I：

10.1007/s00010-018-0548-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Hausdorff and packing measures of typical compact metric spaces belonging to the Gromov-Hausdorff space (of all compact metric spaces) equipped with the Gromov-Hausdorff metric.

引用

页码：709 / 735

页数：27

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