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Logic Seminar - Moshe Illouz | Einstein Institute of Mathematics

Logic Seminar - Moshe Illouz

Date: 
Wed, 12/06/201911:00-13:00
Location: 
Ross 63

Categoricity relative to order and order stability


In this talk we will show a generalization of the notion of stability and categoricity relative to the order. One of the natural questions is whether categoricity implies stability, just like in the regular case. We will show that this is not true generally, by using a result of Pabion on peano arithmetic. We are also going to see some specific cases where categoricity relative to the order implies stability.