COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE

S.M. Buckley, Simon Lyngby Kokkendorff

    Research output: Contribution to journal › Journal article › Research › peer-review

    Abstract

    We discuss and compare the notions of ideal boundaries, Floyd boundaries and Gromov boundaries of metric spaces. The three types of boundaries at infinity are compared in the general setting of unbounded length spaces as well as in the special cases of CAT(0) and Gromov hyperbolic spaces. Gromov boundaries, usually defined only for Gromov hyperbolic spaces, are extended to arbitrary metric spaces.
    Original languageEnglish
    JournalTransactions of the American Mathematical Society
    Volume361
    Issue number2
    Pages (from-to)715-734
    ISSN0002-9947
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Ideal boundary
    • Floyd boundary
    • Gromov hyperbolicity
    • conformal distortion
    • Gromov boundary
    • CAT(0)-spaces

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