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Corona metric spaces: Basic properties, universal lines, and the metric dimension

  • Identification data

    Identifier: imarina:9265239
    Authors:
    Alberto Rodriguez-Velazquez, Juan
    Abstract:
    In this article, we introduce the study of corona metric space. After discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we provide a necessary and sufficient condition for the existence of universal lines, and we obtain a formula for the metric dimension of corona metric spaces.
  • Others:

    Author, as appears in the article.: Alberto Rodriguez-Velazquez, Juan
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Rodríguez Velázquez, Juan Alberto
    Keywords: Universal line Metric space Metric dimension Corona metric space Corona graphs
    Abstract: In this article, we introduce the study of corona metric space. After discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we provide a necessary and sufficient condition for the existence of universal lines, and we obtain a formula for the metric dimension of corona metric spaces.
    Thematic Areas: Mathematics, applied Mathematics (miscellaneous) Mathematics (all) Mathematics General mathematics
    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: 2024-10-26
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://www.aimspress.com/article/doi/10.3934/math.2022758
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Aims Mathematics. 7 (8): 13763-13776
    APA: Alberto Rodriguez-Velazquez, Juan (2022). Corona metric spaces: Basic properties, universal lines, and the metric dimension. Aims Mathematics, 7(8), 13763-13776. DOI: 10.3934/math.2022758
    Article's DOI: 10.3934/math.2022758
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2022
    Publication Type: Journal Publications
  • Keywords:

    Mathematics,Mathematics (Miscellaneous),Mathematics, Applied
    Universal line
    Metric space
    Metric dimension
    Corona metric space
    Corona graphs
    Mathematics, applied
    Mathematics (miscellaneous)
    Mathematics (all)
    Mathematics
    General mathematics
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