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Categoricity of abstract classes with amalgamation

Saharon Shelah
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Abstract

Let K be an abstract elementary class with amalgamation, and Lowenheim Skolem number LS(K). We prove that for a suitable Hanf number chi_0 if chi_0 < lambda_0 <= lambda_1, and K is categorical in lambda^+_1 then it is categorical in lambda_0 .

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Saharon Shelah. 1998-09-15. Categoricity of abstract classes with amalgamation. https://arxiv.org/abs/math/9809197

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