کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4662079 | 1633512 | 2010 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A non-implication between fragments of Martin’s Axiom related to a property which comes from Aronszajn trees
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
منطق ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A non-implication between fragments of Martin’s Axiom related to a property which comes from Aronszajn trees A non-implication between fragments of Martin’s Axiom related to a property which comes from Aronszajn trees](/preview/png/4662079.png)
چکیده انگلیسی
We introduce a property of forcing notions, called the anti-, which comes from Aronszajn trees. This property canonically defines a new chain condition stronger than the countable chain condition, which is called the property .In this paper, we investigate the property . For example, we show that a forcing notion with the property does not add random reals. We prove that it is consistent that every forcing notion with the property has precaliber ℵ1 and for forcing notions with the property fails. This negatively answers a part of one of the classical problems about implications between fragments of .
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 161, Issue 4, January 2010, Pages 469-487
Journal: Annals of Pure and Applied Logic - Volume 161, Issue 4, January 2010, Pages 469-487