کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904283 1633416 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Abstract elementary classes stable in ℵ0
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
پیش نمایش صفحه اول مقاله
Abstract elementary classes stable in ℵ0
چکیده انگلیسی
We study abstract elementary classes (AECs) that, in ℵ0, 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 ℵ0. More precisely, there is a superlimit model of cardinality ℵ0 and the class generated by this superlimit has a type-full good ℵ0-frame (a local notion of nonforking independence) and a superlimit model of cardinality ℵ1. We also give a supersimplicity condition under which the locality hypothesis follows from the rest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 169, Issue 7, July 2018, Pages 565-587
نویسندگان
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