Generic stability and stability

التفاصيل البيبلوغرافية
العنوان: Generic stability and stability
المؤلفون: Adler, Hans, Casanovas, Enrique, Pillay, Anand
سنة النشر: 2012
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Logic
الوصف: We prove two results about generically stable types $p$ in arbitrary theories. The first, on existence of strong germs, generalizes results from D. Haskell, E. Hrushovski and D. Macpherson on stably dominated types. The second is an equivalence of forking and dividing, assuming generic stability of $p^{(m)}$ for all $m$. We use the latter result to answer in full generality a question posed by Hasson and Onshuus: If $p(x)\in S(B)$ is stable and does not fork over $A$ then $p\restriction A$ is stable. (They had solved some special cases.)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1210.5957
رقم الأكسشن: edsarx.1210.5957
قاعدة البيانات: arXiv