The Structure of Models of Peano Arithmetic

by Roman Kossak, Jim Schmerl

Overview

Aimed at research logicians and mathematicians, this much-awaited monograph 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.

Product Details

ISBN-13:	9780198568278
Publisher:	Oxford University Press
Publication date:	09/14/2006
Series:	Oxford Logic Guides
Pages:	328
Product dimensions:	9.20(w) x 6.40(h) x 0.90(d)

Editorial Reviews

"Taking everything into account, this book is a skillfully written research monograph dedicated to results concerning models of Peano arthmetic, especially ones obtains in the last twenty years or so, and can be recommended without hesitation to anyone wishing to acquire a sound knowledge of the subject."—athematical Reviews

From the Publisher