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. AbstractWe 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. | Keywords: | Ideal boundary; Floyd boundary; conformal distortion; Gromov hyperbolicity; Gromov boundary; CAT(0)-spaces; |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 1571 |
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| Deposited By: | Prof. Stephen Buckley |
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| Deposited On: | 07 Oct 2009 14:42 |
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| Journal or Publication Title: | Transactions of the American Mathematical Society |
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| Publisher: | American Mathematical Society |
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| Refereed: | Yes |
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| URL: | http://www.ams.org/journals/tran/ |
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