Simplicity of the automorphism groups of generalised metric spaces

DOI10.1016/j.jalgebra.2021.04.035OpenAlexW2966146663MaRDI QIDQ2035826

Yanyan Li

Publication date: 25 June 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13204

zbMATH Keywords

automorphism groupshomogeneous structuresindependence relationsgeneralised metric spaces

Mathematics Subject Classification ID

Infinite automorphism groups (20B27)

Cites Work

• Unnamed Item
• Vertex partitions of metric spaces with finite distance sets
• Simplicity of some automorphism groups.
• Simplicity of the automorphism groups of some Hrushovski constructions
• Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups
• Completing graphs to metric spaces
• Extending partial isometries of antipodal graphs
• All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms)
• Divisibility of countable metric spaces
• The isometry group of the bounded Urysohn space is simple
• FREE AMALGAMATION AND AUTOMORPHISM GROUPS
• The classification of countable homogeneous directed graphs and countable homogeneous 𝑛-tournaments
• Extending partial isometries of generalized metric spaces
• Distance Sets of Urysohn Metric Spaces
• On the isometry group of the Urysohn space
• Oscillation of Urysohn Type Spaces
• Automorphism groups of finite topological rank
• EPPA for two-graphs and antipodal metric spaces
• A survey on structural Ramsey theory and topological dynamics with the Kechris-Pestov-Todorcevic correspondence in mind

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