BOREL EQUIVALENCE RELATIONS AND LASCAR STRONG TYPES

DOI10.1142/S0219061313500086zbMath1326.03042arXiv1204.3485OpenAlexW2113874518MaRDI QIDQ5401601

Krzysztof Krupiński, Slawomir Solecki, Anand Pillay

Publication date: 10 March 2014

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3485

zbMATH Keywords

Lascar strong typesBorel reducibility

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (8)

Topological dynamics and the complexity of strong types ⋮ The Borel cardinality of Lascar strong types ⋮ EQUIVALENCE RELATIONS INVARIANT UNDER GROUP ACTIONS ⋮ Generalised Bohr compactification and model-theoretic connected components ⋮ On model-theoretic connected components in some group extensions ⋮ SMOOTHNESS OF BOUNDED INVARIANT EQUIVALENCE RELATIONS ⋮ Amenability, connected components, and definable actions ⋮ Galois groups as quotients of Polish groups

Cites Work

• Connected components of definable groups and o-minimality. I
• Group covers, o-minimality, and categoricity
• \(G\)-compactness and groups
• Continuous versus Borel reductions
• Borel transversals and ergodic measures on indecomposable continua
• Model theoretic connected components of groups
• On bounded type-definable equivalence relations
• Hyperimaginaries and automorphism groups
• GALOIS GROUPS OF FIRST ORDER THEORIES
• Counting the number of equivalence classes of Borel and coanalytic equivalence relations
• Decomposing Borel sets and functions and the structure of Baire class 1 functions
• The diameter of a Lascar strong type
• Simple algebraic and semialgebraic groups over real closed fields
• COUNTABLE BOREL EQUIVALENCE RELATIONS

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