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Buckley, Stephen M. and Hanson, Bruce (2013) The n-Point Condition and Rough CAT(0). Analysis and Geometry in Metric Spaces, 1. pp. 58-68. ISSN 2299-3274
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Abstract
We show that for n ≥ 5, a length space (X; d) satisfies a rough n-point condition if and only if it is rough CAT(0). As a consequence, we show that the class of rough CAT(0) spaces is closed under reasonably general limit processes such as pointed and unpointed Gromov-Hausdorff limits and ultralimits
| Item Type: | Article |
|---|---|
| Keywords: | CAT(0) space; rough CAT(0) space; Gromov hyperbolic space; Gromov-Hausdorff limit; ultralimit; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 4845 |
| Identification Number: | 10.2478/agms-2012-0005 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 25 Mar 2014 16:21 |
| Journal or Publication Title: | Analysis and Geometry in Metric Spaces |
| Publisher: | Versita, Warsaw, Poland |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/4845 |
| 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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