ON THE AUTOMORPHISM GROUP OF THE UNIVERSAL HOMOGENEOUS MEET-TREE

DOI10.1017/jsl.2021.9OpenAlexW3128986293MaRDI QIDQ5021926

Daoud Siniora, Itay Kaplan, Tomasz Rzepecki

Publication date: 17 January 2022

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05144

zbMATH Keywords

treegeneric automorphismPolish groupFraïssé limitample generics

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Semilattices (06A12) Groups acting on trees (20E08) Model theory of denumerable and separable structures (03C15) Infinite automorphism groups (20B27)

Related Items

Weakly binary expansions of dense meet‐trees

Cites Work

• Unnamed Item
• A dependent theory with few indiscernibles
• Ordered structures and large conjugacy classes
• A survey of homogeneous structures
• Topological properties of Ważewski dendrite groups
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Generic automorphisms of the universal partial order
• EXAMPLES IN DEPENDENT THEORIES
• The group of homeomorphisms of the Cantor set has ample generics
• Generic Automorphisms of Homogeneous Structures
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• Automorphism Groups of Infinite Semilinear Orders (II)
• Generic expansions of ω-categorical structures and semantics of generalized quantifiers
• The universal homogeneous binary tree
• A Guide to NIP Theories
• On notions of genericity and mutual genericity