ALMOST GALOIS omega-STABLE CLASSES
PublisherAssociation for Symbolic Logic
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Theorem. Suppose that an @0-presentable Abstract Elementary Class (AEC),K, has the joint embedding and amalgamation properties in @0 and < 2@1 models in @1. If K has only countably many models in @1, then all are small. If, in addition, K is almost Galois !-stable then K is Galois !-stable.