Comparing the Floyd and ideal boundaries of a metric space

Buckley, Stephen M. and Kokkendorff, Simon L. (2008) Comparing the Floyd and ideal boundaries of a metric space. Transactions of the American Mathematical Society, 361 (2). pp. 715-734.

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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.

Item Type: Article
Keywords: Ideal boundary; Floyd boundary; conformal distortion; Gromov hyperbolicity; Gromov boundary; CAT(0)-spaces;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 1571
Depositing User: Prof. Stephen Buckley
Date Deposited: 07 Oct 2009 13:42
Journal or Publication Title: Transactions of the American Mathematical Society
Publisher: American Mathematical Society
Refereed: Yes

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