Switch to: References

Add citations

You must login to add citations.
  1. Exact saturation in pseudo-elementary classes for simple and stable theories.Itay Kaplan, Nicholas Ramsey & Saharon Shelah - 2022 - Journal of Mathematical Logic 23 (2).
    We use exact saturation to study the complexity of unstable theories, showing that a variant of this notion called pseudo-elementary class (PC)-exact saturation meaningfully reflects combinatorial dividing lines. 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 of a countable stable theory and, additionally, that simple unstable theories have PC-exact saturation at singular cardinals satisfying mild set-theoretic hypotheses. This had previously been open even (...)
    Download  
     
    Export citation  
     
    Bookmark