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LEXICOGRAPHIC METRIC SPACES: BASIC PROPERTIES AND THE METRIC DIMENSION

  • Identification data

    Identifier: imarina:6300688
    Authors:
    Alberto Rotdriguez-Velazquez, Juan
    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.
  • Others:

    Author, as appears in the article.: Alberto Rotdriguez-Velazquez, Juan;
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Rodríguez Velázquez, Juan Alberto
    Keywords: Product Metric spaces Metric dimension Lexicographic product Lexicographic metric spaces Gravitational metric spaces
    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.
    Thematic Areas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Engenharias iii Discrete mathematics and combinatorics Ciência da computação Applied mathematics Analysis
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0002-9082-7647
    Record's date: 2023-02-19
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: http://pefmath.etf.rs/component/papers/?vol=14&no=1&year=2020
    Papper original source: Applicable Analysis And Discrete Mathematics. 14 (1): 20-32
    APA: Alberto Rotdriguez-Velazquez, Juan; (2020). LEXICOGRAPHIC METRIC SPACES: BASIC PROPERTIES AND THE METRIC DIMENSION. Applicable Analysis And Discrete Mathematics, 14(1), 20-32. DOI: 10.2298/AADM180627004R
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.2298/AADM180627004R
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2020
    Publication Type: Journal Publications
  • Keywords:

    Analysis,Applied Mathematics,Discrete Mathematics and Combinatorics,Mathematics,Mathematics, Applied
    Product
    Metric spaces
    Metric dimension
    Lexicographic product
    Lexicographic metric spaces
    Gravitational metric spaces
    Mathematics, applied
    Mathematics
    Matemática / probabilidade e estatística
    Engenharias iii
    Discrete mathematics and combinatorics
    Ciência da computação
    Applied mathematics
    Analysis
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