Lexicographic metric spaces: Basic properties and the metric dimension

Juan Rodriuez-Velazquez
2020 Applicable Analysis and Discrete Mathematics  
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.
doi:10.2298/aadm180627004r fatcat:7qylnwgbpva4nl52c7gwmojzsi