The number of non-isomorphic models of an unstable first-order theory

DOI10.1007/BF02771463zbMath0226.02045MaRDI QIDQ2548958

Saharon Shelah

Publication date: 1971

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

Mathematics Subject Classification ID

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

Related Items (19)

Classification theory and 0^# ⋮ Comparison of Boolean algebras ⋮ Cardinal invariants and independence results in the poset of precompact group topologies ⋮ Infinite groups ⋮ Constructing strongly equivalent nonisomorphic models for unstable theories ⋮ Consistently \(\mathcal P(\omega_{1})\) is the union of less than \(2^{\aleph _1}\) strongly independent families ⋮ Differentially closed fields ⋮ Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\) ⋮ The model theory of differential fields revisited ⋮ \(\aleph_0\)-categoricity and stability of rings ⋮ Generalized Descriptive Set Theory and Classification Theory ⋮ Model theory without choice? Categoricity ⋮ On the number of complete Boolean algebras ⋮ A many permutation group result for unstable theories ⋮ The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap ⋮ Classification from a Computable Viewpoint ⋮ Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\) ⋮ Weak definability in infinitary languages ⋮ Nice infinitary logics

Cites Work

• Stable theories
• Models of axiomatic theories admitting automorphisms
• On theories categorical in power
• Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory
• Categoricity in Power
• The number of countable models
• Logic with the quantifier “there exist uncountably many”

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