The <Fundamental theorem of stability> says that, for a complete theory with infinite models, the following are equivalent:

* $T$ is stable;
* no formula has the <order property>;
* every complete type over every model of $T$ is a <definable type>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 144 / 2 / a / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-144/2/a/solution