ENGLISH

Classification Theory and the Number of Non-Isomorphic Models

By Saharon Shelah

Book information

Publisher
North-Holland
Year
1990
ISBN
9780444702609, 0444702601, 9780080880242
Language
english
Format
DJVU
Filesize
6 MB (6107936 bytes)
Series
Studies in Logic and the Foundations of Mathematics 92
Edition
2nd
Pages
740\740
Topic
Mathematics Logic
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

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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