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Lexicographic metric spaces: Basic properties and the metric dimension

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In this article, we introduce the concept of lexicographic metric space and, after discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we obtain… Click to show full abstract

In this article, we introduce the concept of lexicographic metric space and, after discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we obtain a formula for the metric dimension of any lexicographic metric space.

Keywords: metric dimension; lexicographic metric; basic properties; properties metric; metric spaces

Journal Title: Applicable Analysis and Discrete Mathematics
Year Published: 2020

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