COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE

S.M. Buckley; Simon Lyngby Kokkendorff

doi:10.1090/S0002-9947-08-04580-7

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 language	English
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	2
Pages (from-to)	715-734
ISSN	0002-9947
DOIs	https://doi.org/10.1090/S0002-9947-08-04580-7
Publication status	Published - 2009

Keywords

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

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10.1090/S0002-9947-08-04580-7

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title = "COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE",

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.",

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KW - Ideal boundary

KW - Floyd boundary

KW - Gromov hyperbolicity

KW - conformal distortion

KW - Gromov boundary

KW - CAT(0)-spaces

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COMPARING THE FLOYD AND IDEAL BOUNDARIES OF A METRIC SPACE

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Keywords

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