Main Classification Theory and the Number of Non-Isomorphic Models

Classification Theory and the Number of Non-Isomorphic Models

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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.

Request Code : ZLIBIO146524
Categories:
Year:
1990
Edition:
2nd
Publisher:
North-Holland
Language:
English
Pages:
740
ISBN 10:
0444702601
ISBN 13:
9780080880242
ISBN:
9780444702609,0444702601,9780080880242
Series:
Studies in Logic and the Foundations of Mathematics 92

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