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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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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.
| 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/1571 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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