The number of uncountable models of \(\omega\)-stable theories

DOI10.1016/0168-0072(83)90007-6zbMath0518.03010OpenAlexW2017599420MaRDI QIDQ1053673

Jürgen Saffe

Publication date: 1983

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(83)90007-6

zbMATH Keywords

number of uncountable modelsomega-stable theories

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50) Models of other mathematical theories (03C65)

Related Items (9)

Models of superstable Horn theories ⋮ Quelques précisions sur la D.O.P. et la profondeur d'une théorie ⋮ Trivial pursuit: remarks on the main gap ⋮ \(\omega\)-stable structures of small CB-rank ⋮ The number of the models of complete Horn theories of finite depth ⋮ Classification theory through stationary logic ⋮ Classification and interpretation ⋮ Structural problems for model companions of varieties of polygons ⋮ Invariants for \(\omega\)-categorical, \(\omega\)-stable theories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap
• The spectrum problem. II: Totally transcendental and infinite depth
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• A proof of Vaught's conjecture for \(\omega\)-stable theories
• An exposition of Shelah's 'main gap': counting uncountable models of \(\omega\)-stable and superstable theories
• Classification theory and the number of non-isomorphic models
• Countable models of nonmultidimensional ℵ₀-stable theories
• An introduction to forking
• Spectra of ω‐Stable Theories

This page was built for publication: The number of uncountable models of \(\omega\)-stable theories