Shelah's stability spectrum and homogeneity spectrum in finite diagrams

DOI10.1007/s001530200000zbMath1022.03017OpenAlexW2032547196MaRDI QIDQ1407519

Olivier Lessmann, Rami Grossberg

Publication date: 16 September 2003

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001530200000

zbMATH Keywords

instabilitylocal stabilitystability spectrumhomogeneity spectrum

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Other infinitary logic (03C75)

Related Items (20)

Simple homogeneous models ⋮ Infinitary stability theory ⋮ Potential isomorphism of elementary substructures of a strictly stable homogeneous model ⋮ The generic pair conjecture for dependent finite diagrams ⋮ THE STABILITY SPECTRUM FOR CLASSES OF ATOMIC MODELS ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes ⋮ INTERPRETING GROUPS AND FIELDS IN SOME NONELEMENTARY CLASSES ⋮ Categoricity and U-rank in excellent classes ⋮ Chains of saturated models in AECs ⋮ Forking in short and tame abstract elementary classes ⋮ Model theoretic stability and categoricity for complete metric spaces ⋮ Notes on Quasiminimality and Excellence ⋮ A rank for the class of elementary submodels of a superstable homogeneous model ⋮ Shelah's categoricity conjecture from a successor for tame abstract elementary classes ⋮ Uniqueness of limit models in classes with amalgamation ⋮ GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES ⋮ Ranks and pregeometries in finite diagrams ⋮ Hanf number of the first stability cardinal in AECs ⋮ Однородность высокая и низкая

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