کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661726 | 1633458 | 2014 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A model of Cummings and Foreman revisited
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
منطق ریاضی
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چکیده انگلیسی
This paper concerns the model of Cummings and Foreman where from Ï supercompact cardinals they obtain the tree property at each âµn for 2â¤n<Ï. We prove some structural facts about this model. We show that the combinatorics at âµÏ+1 in this model depend strongly on the properties of Ï1 in the ground model. From different ground models for the Cummings-Foreman iteration we can obtain either âµÏ+1âI[âµÏ+1] and every stationary subset of âµÏ+1 reflects or there are a bad scale at âµÏ and a non-reflecting stationary subset of âµÏ+1â©cof(Ï1). We also prove that regardless of the ground model a strong generalization of the tree property holds at each âµn for nâ¥2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 165, Issue 12, December 2014, Pages 1813-1831
Journal: Annals of Pure and Applied Logic - Volume 165, Issue 12, December 2014, Pages 1813-1831
نویسندگان
Spencer Unger,