Categoricity of abstract classes with amalgamation

Details Categoricity of abstract classes with amalgamation Categoricity of abstract classes with amalgamation

1998-09-15

arxiv.org/abs/math/9809197v1

Mathematics

Logic

Scientific paper

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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