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Research Article | Open Access

Corona metric spaces: Basic properties, universal lines, and the metric dimension

Universitat Rovira i Virgili, Departament d'Enginyeria Informàtica i Matemàtiques, Av. Països Catalans 26, 43007 Tarragona, Spain
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Abstract

In this article, we introduce the study of corona metric space. After discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we provide a necessary and sufficient condition for the existence of universal lines, and we obtain a formula for the metric dimension of corona metric spaces.

Keywords

metric spacemetric dimensioncorona metric spaceuniversal linecorona graphs
CLC number: 54E35

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13763-13776
DOI: 10.3934/math.2022758

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Cite this article:
Rodríguez-Velázquez JA. Corona metric spaces: Basic properties, universal lines, and the metric dimension. AIMS Mathematics, 2022, 7(8): 13763-13776. https://doi.org/10.3934/math.2022758

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Received: 04 March 2022
Revised: 10 May 2022
Accepted: 11 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)