LEXICOGRAPHIC METRIC SPACES BASIC PROPERTIES AND THE METRIC DIMENSION
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.
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| Published in | Applicable analysis and discrete mathematics Vol. 14; no. 1; pp. 20 - 32 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
University of Belgrade, Serbia
01.04.2020
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| Online Access | Get full text |
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| Summary: | 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. |
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| ISSN: | 1452-8630 2406-100X |
| DOI: | 10.2298/AADM180627004R |