COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE

Publication: Research - peer-reviewJournal article – Annual report year: 2009

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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
Publication date2009
Volume361
Issue2
Pages715-734
ISSN0002-9947
DOIs
StatePublished
CitationsWeb of Science® Times Cited: No match on DOI

Keywords

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