The Structure of Models of Peano Arithmetic [Hardcover]

Roman Kossak (Author), James Schmerl (Author)

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Product Details

Hardcover: 328 pages
Publisher: Clarendon Press (July 29 2006)
Language: English
ISBN-10: 0198568274
ISBN-13: 978-0198568278
Product Dimensions: 23.4 x 16.3 x 2.3 cm
Shipping Weight: 635 g

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Review

"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

Product Description

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.

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Front Cover | Copyright | Table of Contents | Excerpt | Index