Categoricity, amalgamation, and tameness

DOI10.1007/s11856-009-0035-8zbMath1181.03038OpenAlexW2000276324MaRDI QIDQ839925

N. E. Zubov

Publication date: 3 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11856-009-0035-8

zbMATH Keywords

categoricitytamenessamalgamationabstract elementary classGalois type

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Other infinitary logic (03C75) Categoricity and completeness of theories (03C35) Abstract elementary classes and related topics (03C48)

Related Items (21)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Infinitary stability theory ⋮ Categoricity transfer in simple finitary abstract elementary classes ⋮ Good frames in the Hart-Shelah example ⋮ ON CATEGORICITY IN SUCCESSIVE CARDINALS ⋮ Saturation and solvability in abstract elementary classes with amalgamation ⋮ The Hart-Shelah example, in stronger logics ⋮ Iterated elementary embeddings and the model theory of infinitary logic ⋮ Interpreting groups and fields in simple, finitary AECs ⋮ Structural logic and abstract elementary classes with intersections ⋮ Failure of n -uniqueness: a family of examples ⋮ A topology for galois types in abstract elementary classes ⋮ \(^{\perp}N\) as an abstract elementary class ⋮ UNIVERSAL CLASSES NEAR ${\aleph _1}$ ⋮ Forking in short and tame abstract elementary classes ⋮ DISJOINT AMALGAMATION IN LOCALLY FINITE AEC ⋮ Tameness and extending frames ⋮ TAMENESS FROM LARGE CARDINAL AXIOMS ⋮ Downward categoricity from a successor inside a good frame ⋮ Categoricity in multiuniversal classes ⋮ The categoricity spectrum of large abstract elementary classes

Cites Work

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• VON NEUMANN COORDINATIZATION IS NOT FIRST-ORDER
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