|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4661557||1413704||2017||21 صفحه PDF||ندارد||دانلود رایگان|
We study Vaught's problem for quite o-minimal theories. Quite o-minimal theories form a subclass of the class of weakly o-minimal theories preserving a series of properties of o-minimal theories. We investigate quite o-minimal theories having fewer than 2ω2ω countable models and prove that the Exchange Principle for algebraic closure holds in any model of such a theory and also we prove binarity of these theories. The main result of the paper is that any quite o-minimal theory has either 2ω2ω countable models or 6a3b6a3b countable models, where a and b are natural numbers.
Journal: Annals of Pure and Applied Logic - Volume 168, Issue 1, January 2017, Pages 129–149