Indiscernible sequences in a model which fails to have the order property

DOI10.2307/2274908zbMath0733.03022OpenAlexW2027035731MaRDI QIDQ3360166

Rami Grossberg

Publication date: 1991

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2274908

zbMATH Keywords

indiscernible set\(\omega \) -order propertymodel theory of substructures of a fixed model

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55) Logic on admissible sets (03C70)

Related Items (10)

Infinitary stability theory ⋮ Superstability, Noetherian rings and pure-semisimple rings ⋮ Forking in short and tame abstract elementary classes ⋮ On chains of relatively saturated submodels of a model without the order property ⋮ Simple-like independence relations in abstract elementary classes ⋮ Non-forking w-good frames ⋮ On superstability in the class of flat modules and perfect rings ⋮ Algebraic description of limit models in classes of abelian groups ⋮ Ranks and pregeometries in finite diagrams ⋮ SOME STABLE NON-ELEMENTARY CLASSES OF MODULES

Cites Work

• A minimal prime model with an infinite set of indiscernibles
• A combinatorial problem; stability and order for models and theories in infinitary languages
• On chains of relatively saturated submodels of a model without the order property
• On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. Part A

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