Categoricity for abstract classes with amalgamation

Annals of Pure and Applied Logic 98 (1-3):261-294 (1999)

Abstract
Let be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS. We prove that for a suitable Hanf number gc0 if χ0 < λ0 λ1, and is categorical inλ1+ then it is categorical in λ0
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DOI 10.1016/s0168-0072(98)00016-5
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References found in this work BETA

Toward Categoricity for Classes with No Maximal Models.Saharon Shelah & Andrés Villaveces - 1999 - Annals of Pure and Applied Logic 97 (1-3):1-25.
Finite Diagrams Stable in Power.Saharon Shelah - 1970 - Annals of Pure and Applied Logic 2 (1):69.
Model Theory.C. C. Chang & H. J. Keisler - 1976 - Journal of Symbolic Logic 41 (3):697-699.

View all 6 references / Add more references

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