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Metric characterizations of
spherical and Euclidean buildings
Ruth Charney and Alexander Lytchak |
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Geometry & Topology 5 (2001) 521–550
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arXiv: math.MG/0106188 |
Abstract |
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A building is a simplicial complex with a covering by Coxeter complexes (called apartments) satisfying certain combinatorial conditions. A building whose apartments are spherical (respectively Euclidean) Coxeter complexes has a natural piecewise spherical (respectively Euclidean) metric with nice geometric properties. We show that spherical and Euclidean buildings are completely characterized by some simple, geometric properties. |
Keywords
buildings, CAT(0) spaces, spherical buildings, Euclidean
buildings, metric characterisation
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Mathematical Subject Classification 2000
Primary: 20E42
Secondary: 20F65
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References |
Forward citations |
Publication
Received: 23 November 2000
Revised: 11 May 2001
Accepted: 18 May 2001
Published: 21 May 2001
Proposed: Walter Neumann
Seconded: Jean-Pierre Otal, Steve Ferry
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Authors |
| Ruth Charney | |
| Mathematics Department Ohio State University 231 West 18th Ave Columbus Ohio 43210 USA |
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| Alexander Lytchak | |
| Mathematisches Institut der
Universität Bonn Wegelerstraße 10 D-53115 Bonn Germany |
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