Classification Theory —— and the Number of Non-Isomorphic Models

----- 分类理论：非同构模型的数量

ISBN: 9780444702609 出版年：1990 页码：741 Shelah, S North Holland_RM

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.