The Structure of Models of Peano Arithmetic (Oxford Logic Guides)
Author: Roman Kossak, James Schmerl
Format: Kindle Edition
Publisher: Clarendon Press
Release Date: June 29, 2006
Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal
types due to Haim Gaifman, and some of the results are classical but have never been published in a book form before.