Lexicographic metric spaces: basic properties and the metric dimension
Metric Geometry
2019-11-13 v2
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.
Cite
@article{arxiv.1806.10908,
title = {Lexicographic metric spaces: basic properties and the metric dimension},
author = {Juan Alberto Rodriguez-Velazquez},
journal= {arXiv preprint arXiv:1806.10908},
year = {2019}
}