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.
Citation: Juan Alberto Rodríguez-Velázquez. Corona metric spaces: Basic properties, universal lines, and the metric dimension[J]. AIMS Mathematics, 2022, 7(8): 13763-13776. doi: 10.3934/math.2022758
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.
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Juan Alberto Rodríguez-Velázquez. Corona metric spaces: Basic properties, universal lines, and the metric dimension[J]. AIMS Mathematics, 2022, 7(8): 13763-13776. doi: 10.3934/math.2022758
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