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Buckley, Stephen M., Wraith, David and McDougall, J. (2010) On Ptolemaic metric simplicial complexes. Mathematical Proceedings of the Cambridge Philosophical Society, 149 (1). pp. 93-104. ISSN 1469-8064
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Abstract
We show that under certain mild conditions, a metric simplicial complex which satisfies
the Ptolemy inequality is a CAT(0) space. Ptolemy’s inequality is closely related to inversions
of metric spaces. For a large class of metric simplicial complexes, we characterize
those which are isometric to Euclidean space in terms of metric inversions.
| Item Type: | Article |
|---|---|
| Keywords: | Ptolemaic metric simplicial complexes; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2420 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 09 Feb 2011 11:13 |
| Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |
| Publisher: | Cambridge University Press |
| Refereed: | Yes |
| 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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