The isometry group of the bounded Urysohn space is simple

DOI10.1112/blms/bdt035zbMath1291.03075arXiv1211.5982OpenAlexW1993912205MaRDI QIDQ2854230

Martin Ziegler, Katrin Tent

Publication date: 18 October 2013

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5982

zbMATH Keywords

isometry groupmetric spaceUrysohn spacehomogenous

Mathematics Subject Classification ID

Simple groups (20E32) Metric spaces, metrizability (54E35) Applications of model theory (03C98) Infinite automorphism groups (20B27)

Related Items (9)

Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures ⋮ Model theoretic properties of the Urysohn sphere ⋮ AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS ⋮ Dense locally finite subgroups of automorphism groups of ultraextensive spaces ⋮ Polish groups and Baire category methods ⋮ Distance structures for generalized metric spaces ⋮ Simplicity of the automorphism groups of generalised metric spaces ⋮ Lelek fan from a projective Fraïssé limit ⋮ Homogeneous actions on Urysohn spaces

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