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

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 formul...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 8; pp. 13763 - 13776
Main Author Rodríguez-Velázquez, Juan Alberto
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
corona graphs
corona metric space
metric dimension
metric space
universal line
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022758