Almost Galois.pdf (371.12 kB)
Download fileALMOST GALOIS omega-STABLE CLASSES
journal contribution
posted on 2015-11-09, 00:00 authored by JT Baldwin, PB Larson, S. ShelahTheorem. 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.