On Ptolemaic metric simplicial complexes
Buckley, S.M. and Wraith, D.J. and McDougall, J. (2010) On Ptolemaic metric simplicial complexes. Mathematical Proceedings of the Cambridge Philosophical Society, 149 (1). pp. 93-104. ISSN 1469-8064 AbstractWe 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. | Keywords: | Ptolemaic metric simplicial complexes; |
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| Subjects: | Science & Engineering > Mathematics |
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| ID Code: | 2420 |
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| Deposited By: | Prof. Stephen Buckley |
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| Deposited On: | 09 Feb 2011 11:13 |
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| Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |
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| Publisher: | Cambridge University Press |
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| Refereed: | Yes |
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