28 citations · 31 across the 9 of their papers we have counts for
3 papers · 1 filter
Exact saturation in pseudo-elementary classes for simple and stable theories
Itay Kaplan, Nicholas Ramsey, Saharon Shelah
We study PC-exact saturation for stable and simple theories. Among other results, we show that PC-exact saturation characterizes the stability cardinals of size at least continuum…
Transitivity, lowness, and ranks in NSOP theories
Artem Chernikov, Byunghan Kim, Nicholas Ramsey
We develop the theory of Kim-independence in the context of NSOP theories satsifying the existence axiom. We show that, in such theories, Kim-independence is transitive and t…
Criteria for exact saturation and singular compactness
Itay Kaplan, Nicholas Ramsey, Saharon Shelah
We introduce the class of unshreddable theories, which contains the simple and NIP theories, and prove that such theories have exactly saturated models in singular cardinals, satis…