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

Research output: Contribution to journal › Article › peer-review

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

Access to Document

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

Handle.net

Persistent link to portal record

Cite this

@article{dd432b02c80943c8b0222520b4cdb6ad,

title = "On the Hausdorff and packing measures of typical compact metric spaces",

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.",

keywords = "Box dimension, Compact metric space, The Gromov-Hausdorff metric, Hewitt-Stromberg measure Hausdorff measure, Packing measure",

author = "S. Jurina and N. MacGregor and A. Mitchell and L. Olsen and A. Stylianou",

year = "2018",

month = aug,

doi = "10.1007/s00010-018-0548-5",

language = "English",

volume = "92",

pages = "709–735",

journal = "Aequationes Mathematicae",

issn = "0001-9054",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - On the Hausdorff and packing measures of typical compact metric spaces

AU - Jurina, S.

AU - MacGregor, N.

AU - Mitchell, A.

AU - Olsen, L.

AU - Stylianou, A.

PY - 2018/8

Y1 - 2018/8

N2 - 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.

AB - 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.

KW - Box dimension

KW - Compact metric space

KW - The Gromov-Hausdorff metric

KW - Hewitt-Stromberg measure Hausdorff measure

KW - Packing measure

U2 - 10.1007/s00010-018-0548-5

DO - 10.1007/s00010-018-0548-5

M3 - Article

SN - 0001-9054

VL - 92

SP - 709

EP - 735

JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

IS - 4

ER -

On the Hausdorff and packing measures of typical compact metric spaces

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this