On the possible number no(M) $=\,the$ number of nonisomorphic models $L_{\infty,\lambda}$-equivalent to M of power $\lambda$ , for $\lambda$ singular

DOI10.1305/ndjfl/1093870759zbMath0567.03010OpenAlexW2020372741MaRDI QIDQ1059627

Publication date: 1985

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1093870759

Mathematics Subject Classification ID

Other infinitary logic (03C75)

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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 ⋮ Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type ⋮ On inverse γ-systems and the number of L_∞λ-equivalent, non-isomorphic models for λ singular

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On the possible number no(M) \(=\,the\) number of nonisomorphic models \(L_{\infty,\lambda}\)-equivalent to M of power \(\lambda\) , for \(\lambda\) singular