کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661737 | 1633456 | 2015 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymmetric regular types
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
منطق ریاضی
چکیده انگلیسی
We study asymmetric regular global types pâS1(C). If p is regular and A-asymmetric then there exists a strict order such that Morley sequences in p over A are strictly increasing (we allow Morley sequences to be indexed by elements of a linear order). We prove that for any small model MâA maximal Morley sequences in p over A consisting of elements of M have the same (linear) order type, denoted by Invp,A(M). In the countable case we determine all possibilities for Invp,A(M): either it can be any countable linear order, or in any MâA it is a dense linear order (provided that it has at least two elements). Then we study relationship between Invp,A(M) and Invq,A(M) when p and q are strongly regular, A-asymmetric, and such that pâ¾A and qâ¾A are not weakly orthogonal. We distinguish two kinds of non-orthogonality: bounded and unbounded. In the bounded case we prove that Invp,A(M) and Invq,A(M) are either isomorphic or anti-isomorphic. In the unbounded case, Invp,A(M) and Invq,A(M) may have distinct cardinalities but we prove that their Dedekind completions are either isomorphic or anti-isomorphic. We provide examples of all four situations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 166, Issue 2, February 2015, Pages 93-120
Journal: Annals of Pure and Applied Logic - Volume 166, Issue 2, February 2015, Pages 93-120
نویسندگان
Slavko Moconja, Predrag TanoviÄ,