Abstract elementary classes stable in N-0

作者：Shelah Saharon; Vasey Sebastien^*

来源：Annals of Pure and Applied Logic, 2018, 169(7): 565-587.

DOI：10.1016/j.apal.2018.02.004

• Abstract elementary classes
• N-0-Stability
• Good frames
• Superlimit
• Locality

We study abstract elementary classes (AECs) that, in N-0, have amalgamation, joint embedding, no maximal models and are stable (in terms of the number of orbital types). Assuming a locality property for types, we prove that such classes exhibit superstable-like behavior at N-0. More precisely, there is a superlimit model of cardinality 110 and the class generated by this superlimit has a type-full good N-0-frame (a local notion of nonforking independence) and a superlimit model of cardinality N-1. We also give a supersimplicity condition under which the locality hypothesis follows from the rest.

• 出版日期2018-7
• 单位rutgers