ENGLISH

Classification Theory and the Number of Non-Isomorphic Models

By S. Shelah

Book information

Publisher
Elsevier
Year
1990
ISBN
0444702601, 9780444702609
Language
english
Format
PDF
Filesize
43 MB (44711397 bytes)
Series
Studies in Logic and the Foundations of Mathematics 92
Edition
2nd
Pages
741\741
Topic
Mathematics Logic
Time added
2011-01-06 10:13:16

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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