کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4662063 1633497 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On guessing generalized clubs at the successors of regulars
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
پیش نمایش صفحه اول مقاله
On guessing generalized clubs at the successors of regulars
چکیده انگلیسی

König, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of a higher Souslin tree from the strong guessing principle.Complementary to the author’s work on the validity of diamond and non-saturation at the successor of singulars, we deal here with a successor of regulars. It is established that even the non-strong guessing principle entails non-saturation, and that, assuming the necessary cardinal arithmetic configuration, entails a diamond-type principle which suffices for the construction of a higher Souslin tree.We also establish the consistency of GCH with the failure of the weakest form of generalized club guessing. This, in particular, settles a question from the original paper.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 162, Issue 7, June–July 2011, Pages 566-577