Characterizing an \(\aleph_\varepsilon\)-saturated model of superstable NDOP theories by its \(\mathbb{L}_{\infty, \aleph_\varepsilon}\)-theory

DOI10.1007/BF02786627zbMath1059.03024MaRDI QIDQ1885531

Saharon Shelah

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

superstable theory\(\aleph_\epsilon\)-saturated modeldimension order property

Mathematics Subject Classification ID

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

Related Items (3)

Classifiable theories without finitary invariants ⋮ Borel completeness of some ℵ₀-stable theories ⋮ \mathbf P-NDOP and \mathbf P-decompositions of ℵ_ε-saturated models of superstable theories

Cites Work

• On the existence of regular types
• Existence of many \(L_{\infty,\lambda}\)-equivalent, non-isomorphic models of T of power \(\lambda\)
• On the number of strongly \(\aleph _{\epsilon}\)-saturated models of power \(\lambda\)
• Classification theory and the number of non-isomorphic models.
• Forcing isomorphism

This page was built for publication: Characterizing an \(\aleph_\varepsilon\)-saturated model of superstable NDOP theories by its \(\mathbb{L}_{\infty, \aleph_\varepsilon}\)-theory