Free construction of CAT(1) spaces

DOI10.1007/S00013-006-1708-8zbMATH Open1115.53026arXivmath/0505622OpenAlexW2593928179MaRDI QIDQ868647

Koichi Nagano

Publication date: 6 March 2007

Published in: Archiv der Mathematik (Search for Journal in Brave)

Abstract: We construct several non-trivial examples of CAT(1) spaces by using the idea of free construction.

Full work available at URL: https://arxiv.org/abs/math/0505622

zbMATH Keywords

building, \(n\)-roundfree construction spherical and Euclidean building

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Buildings and the geometry of diagrams (51E24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

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