De Itay Kaplan
A theory T is said to have exact saturation at a (usually singular) cardinal κ if there is a model which is κ- saturated but not κ +- saturated. T has PC-exact saturation at κ if for every T1 containing T (of the same cardinality), there is a model of T1 whose reduct to the language of T is κ-saturated but not κ +-saturated. In a previous work (with Shelah and Simon) we identified exact saturation in simple in NIP theories. By work of Shelah and Malliaris, if a theory has SOP2 then it does not have PC exact saturation. In this talk I will discuss PC exact saturation in the context of simple theories, and also the local analog.
De Krzysztof Krupinski
De Lou Van den Dries
De Tamara Servi
De Martin Hils
De Dimitry Wyss
De Itay Kaplan
De Keiji Oguiso
De Ngaiming Mok
De Mikhail Lyubich
