Ernest Schimmerling

Mid-Atlantic Mathematical Logic Seminar

Alexei Kolesnikov (CMU)

n-simple theories

In a recent list of open problems in model theory, Shelah conjectured the existence of a hierarchy of omega + 1 many subclasses of the class of simple theories. I will introduce a family of properties that divide the class of all simple theories into the following subclasses: n-simple theories for 0 < n < omega and omega-simple theories. I plan to present examples and discuss the properties of n-simple theories.