Comparing the Floyd and ideal boundaries of a metric space-Reference-Cited by-同舟云学术

Comparing the Floyd and ideal boundaries of a metric space

Published:2008-09-29 Issue:2 Volume:361 Page:715-734
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Buckley Stephen,Kokkendorff Simon

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2009-361-02/S0002-9947-08-04580-7/S0002-9947-08-04580-7.pdf

Reference16 articles.

1. Geometric characterizations of Gromov hyperbolicity;Balogh, Zoltán M.;Invent. Math.,2003

2. Sphericalization and flattening;Balogh, Zoltán M.;Conform. Geom. Dyn.,2005

3. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Bridson, Martin R.,1999

4. Uniformizing Gromov hyperbolic spaces;Bonk, Mario;Ast\'{e}risque,2001

5. Embeddings of Gromov hyperbolic spaces;Bonk, M.;Geom. Funct. Anal.,2000

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