کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4661573 1344844 2016 13 صفحه PDF ندارد دانلود رایگان
عنوان انگلیسی مقاله
Superstability and symmetry
ترجمه فارسی عنوان
ثبات فوق العاده و تقارن
کلمات کلیدی
کلاس خلاصه ابتدایی؛ ثبات فوق العاده؛ تقارن؛ خرد کن؛ مدل های محدود
03C48; 03C45; 03C50; 03C30Abstract elementary classes; Superstability; Symmetry; Splitting; Limit models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 167, Issue 12, December 2016, Pages 1171–1183
نویسندگان
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