Definable Sets in Generic Structures and their Cardinalities

DOI10.3103/S1055134418010030zbMath1399.03007OpenAlexW2791726316MaRDI QIDQ5374069

Yiannis Kiouvrekis, Petros Stefaneas, Sergeĭ Vladimirovich Sudoplatov

Publication date: 6 April 2018

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134418010030

zbMATH Keywords

generic structuredefinable setgenerative classcardinality of a setcalculus for definable sets

Mathematics Subject Classification ID

Model theory of finite structures (03C13) Classification theory, stability, and related concepts in model theory (03C45) Interpolation, preservation, definability (03C40) Model theory of denumerable and separable structures (03C15)

Related Items (4)

Spectra for generative classes ⋮ Lattices in generative classes ⋮ Conflict and conflict-free theories ⋮ Generations of generative classes

Cites Work

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• Stable theories, pseudoplanes and the number of countable models
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• Countable Models of Stable Theories
• Syntactic approach to constructions of generic models
• Minimale Gruppen
• Model Theory
• On Fraïssé’s Theorem for Uncountable Classes of Finitely Generated Structures
• On strongly minimal sets

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