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
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: |
https://doi.org/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 |
| URI: |
|
| 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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