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math.LO2021
The Diversity of Minimal Cofinal Extensions
James H. Schmerl
Fix a countable nonstandard model of Peano Arithmetic. Even with some rather severe restrictions placed on the types of minimal cofinal extensions $\mathcal N \succ \m…
math.LO2021
CP-generic expansions of models of Peano Arithmetic
Athar Abdul-Quader, James H. Schmerl
We study notions of genericity in models of , inspired by lines of inquiry initiated by Chatzidakis and Pillay and continued by Dolich, Miller and Steinhorn in general…