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    The n-Point Condition and Rough CAT(0)


    Buckley, Stephen M. and Hanson, Bruce (2013) The n-Point Condition and Rough CAT(0). Analysis and Geometry in Metric Spaces, 1. pp. 58-68. ISSN 2299-3274

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    Abstract

    We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits

    Item Type: Article
    Keywords: CAT(0) space; rough CAT(0) space; Gromov hyperbolic space; Gromov-Hausdorff limit; ultralimit;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 4845
    Identification Number: https://doi.org/10.2478/agms-2012-0005
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 25 Mar 2014 16:21
    Journal or Publication Title: Analysis and Geometry in Metric Spaces
    Publisher: Versita, Warsaw, Poland
    Refereed: Yes
    URI:

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