Classification Theory: And the Number of Non-Isomorphic Models

Shelah, S.

ISBN 10: 0444556982 ISBN 13: 9780444556981

Editorial: North Holland, 2012

Idioma: Ingl�s

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T�tulo: Classification Theory: And the Number of Non-Isomorphic Models
Editor: North Holland
Fecha de publicaci�n: 2012
Idioma: Ingl�s
ISBN 10: 0444556982
ISBN 13: 9780444556981
Encuadernaci�n: paperback
Estado: New
Tipo de libro: book

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Sinopsis

In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m|M|. This theorem is also the subject of Chapter XIII.

Rese�a del editor

In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m|M|. This theorem is also the subject of Chapter XIII.

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