On the number of nonisomorphic models of cardinality lambda L(infinity,lambda)-equivalent to a fixed model
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Publication:1148897
DOI10.1305/ndjfl/1093883334zbMath0453.03040OpenAlexW2084831008MaRDI QIDQ1148897
Publication date: 1981
Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1305/ndjfl/1093883334
Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65) Other infinitary logic (03C75)
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Abstract classes with few models have ‘homogeneous-universal’ models ⋮ The theorems of Beth and Craig in abstract model theory. III: \(\Delta\)- logics and infinitary logics ⋮ On the number of ${L}_{\infty \omega _1}$-equivalent non-isomorphic models ⋮ Model companions of \(T_{\Aut}\) for stable \(T\) ⋮ On inverse γ-systems and the number of L∞λ-equivalent, non-isomorphic models for λ singular
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