|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4661573||1344844||2016||13 صفحه PDF||ندارد||دانلود رایگان|
This paper continues the study of superstability in abstract elementary classes (AECs) satisfying the amalgamation property. In particular, we consider the definition of μ-superstability which is based on the local character characterization of superstability from first order logic. Not only is μ-superstability a potential dividing line in the classification theory for AECs, but it is also a tool in proving instances of Shelah's Categoricity Conjecture.In this paper, we introduce a formulation, involving towers, of symmetry over limit models for μ-superstable abstract elementary classes. We use this formulation to gain insight into the problem of the uniqueness of limit models for categorical AECs.
Journal: Annals of Pure and Applied Logic - Volume 167, Issue 12, December 2016, Pages 1171–1183