\mathbf P-NDOP and \mathbf P-decompositions of ℵε-saturated models of superstable theories

DOI10.4064/FM229-1-2zbMath1372.03067arXiv1206.6028OpenAlexW2316999541MaRDI QIDQ5499007

Saharon Shelah, Michael Chris Laskowski

Publication date: 11 February 2015

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

Full work available at URL: https://arxiv.org/abs/1206.6028

zbMATH Keywords

superstable theoriesNDOP\(\aleph\)-saturated models

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50)

Related Items (1)

Borel completeness of some ℵ₀-stable theories

Cites Work

• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• Characterizing an \(\aleph_\varepsilon\)-saturated model of superstable NDOP theories by its \(\mathbb{L}_{\infty, \aleph_\varepsilon}\)-theory
• Decompositions of saturated models of stable theories
• Borel completeness of some ℵ₀-stable theories

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