Аннотация
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 2ω 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 2ω countable models or 6a3b countable models, where a and b are natural numbers.
Язык оригинала | английский |
---|---|
Страницы (с-по) | 129-149 |
Число страниц | 21 |
Журнал | Annals of Pure and Applied Logic |
Том | 168 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 янв 2017 |