Some model theory of SL(2,R)

DOI10.4064/fm229-2-2zbMath1322.03026arXiv1208.0196OpenAlexW2963018745MaRDI QIDQ5177544

Jakub Gismatullin, Davide Penazzi, Anand Pillay

Publication date: 12 March 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0196

zbMATH Keywords

Ellis semigroupmodel-theoretic topological dynamics

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64)

Related Items (12)

Definably topological dynamics of \(p\)-adic algebraic groups ⋮ ON MODEL-THEORETIC CONNECTED GROUPS ⋮ Generalised Bohr compactification and model-theoretic connected components ⋮ The Geometry of the Projective Action of $\text{SL}(3,\mathbb{R})$ from the Erlangen Perspective ⋮ Topological dynamics for groups definable in real closed field ⋮ Definably amenable NIP groups ⋮ THE ELLIS GROUP CONJECTURE AND VARIANTS OF DEFINABLE AMENABILITY ⋮ Definable topological dynamics and real Lie groups ⋮ Some model theory and topological dynamics of $p$-adic algebraic groups ⋮ Topological dynamics and NIP fields ⋮ Boundedness and absoluteness of some dynamical invariants in model theory ⋮ External definability and groups in NIP theories

Cites Work

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• On compactifications and the topological dynamics of definable groups
• On NIP and invariant measures
• Model theoretic aspects of the Ellis semigroup
• Topological dynamics of definable group actions
• Definable types in -minimal theories
• Definability of types, and pairs of O-minimal structures
• Topological dynamics and definable groups

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