On the Hausdorff and packing measures of typical compact metric spaces

S. Jurina; N. MacGregor; A. Mitchell; L. Olsen; A. Stylianou

doi:10.1007/s00010-018-0548-5

On the Hausdorff and packing measures of typical compact metric spaces

S. Jurina, N. MacGregor, A. Mitchell, L. Olsen, A. Stylianou

Pure Mathematics

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Abstract

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.

Original language	English
Pages (from-to)	709–735
Number of pages	27
Journal	Aequationes Mathematicae
Volume	92
Issue number	4
Early online date	24 Apr 2018
DOIs	https://doi.org/10.1007/s00010-018-0548-5
Publication status	Published - Aug 2018

Keywords

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

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10.1007/s00010-018-0548-5Licence: CC BY

Jurina_2018_AM_compactmetricspaces_CC
© The Author(s) 2018. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 447 KBLicence: CC BY

Cite this

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KW - Hewitt-Stromberg measure Hausdorff measure

KW - Packing measure

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On the Hausdorff and packing measures of typical compact metric spaces

Abstract

Keywords

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