کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661694 1633449 2015 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The envelope of a pointclass under a local determinacy hypothesis
ترجمه فارسی عنوان
پوشش یک کلاس پوینت تحت فرضیه تعیین کننده محلی
کلمات کلیدی
معین؛ کلاس پوینت؛ مقیاس؛ مدل مشتق شده
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
چکیده انگلیسی

Given an inductive-like pointclass Γ˜ and assuming the Axiom of Determinacy, Martin identified and analyzed a pointclass that contains the prewellorderings of the next scale beyond Γ˜ if such a scale exists. We show that much of Martin's analysis can be carried out assuming only ZF+DCRZF+DCR and Δ˜Γ˜ determinacy by adapting arguments of Kechris and Woodin [10] and Martin [13]. This generalization can be used to show that every set of reals is Suslin in the intersection of two divergent models of AD+AD+, giving a new proof of a theorem of Woodin, as well as to show that every set of reals is Suslin in the derived model at an indestructibly weakly compact limit of Woodin cardinals.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 166, Issue 10, October 2015, Pages 991–1018
نویسندگان
,