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Theorem 0.1 Let $$\mathbf {K}$$ K be an abstract elementary class (AEC) with amalgamation and no maximal models. Let $$\lambda > {LS}(\mathbf {K})$$ λ > LS ( K ) . If $$\mathbf {K}$$ K is categorical in $$\lambda $$ λ , then the model of cardinality $$\lambda $$ λ is Galois-saturated.
Archive for Mathematical Logic – Springer Journals
Published: May 27, 2017
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