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Comparing the Floyd and Ideal Boundaries of a Metric Space

Stephen M. Buckley and Simon L. Kokkendorff
Transactions of the American Mathematical Society
Vol. 361, No. 2 (Feb., 2009), pp. 715-734
Stable URL: http://www.jstor.org/stable/40302787
Page Count: 20
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Comparing the Floyd and Ideal Boundaries of a Metric Space
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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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