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Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm - MaRDI portal

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Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm (Q2027882)

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scientific article; zbMATH DE number 7352002
Language Label Description Also known as
English
Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm
scientific article; zbMATH DE number 7352002

    Statements

    title
    Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm (English)
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    publication date
    28 May 2021
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    review text
    The author gives a new geometric characterization of Chebyshev sets and suns in tridimensional polyhedral spaces under employment of the corresponding cylindrical norm. Various other yet unknown properties of Chebyshev sets and suns were uncovered as well.
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    zbMATH Keywords
    Chebyshev set
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    sun
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    monotone path-connected set
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    cylindrical norm
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    polyhedral norm
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    author
    A. R. Alimov
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    Identifiers

    Mathematics Subject Classification ID
    41A99
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    52A15
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    54C50
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    zbMATH DE Number
    7352002
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    OpenAlex ID
    W3137595392
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