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	CLASSIFICATION THEORY and the Number of Non-Isomorphic Models Buy online with a credit card in the Elsevier Science & Technology Bookstore: http://books.elsevier.com/elsevier/?isbn=0444702601 Second Revised Edition By S. Shelah, The Hebrew University, Jerusalem, Israel Included in series Studies in Logic and the Foundations of Mathematics, 92 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. Contents Preliminaries. Ranks and Incomplete Types. Global Theory. Prime Models. More on Types and Saturated Models. Saturation of Ultraproducts. Construction of Models. The Number of Non-Isomorphic Models in Pseudo-Elementary Classes. Categoricity and the Number of Models in Elementary Classes. Classification for Fa No-Saturated Models. The Decomposition Theorem. The Main Gap For Countable Theories. For Thomas the Doubter. Appendix: Filters, Stationary Sets and Families of Sets. Partition Theorems. Various Results. Historical Remarks. References. Bibliographic details Hardbound, xxxiv + 706 pages, publication date: DEC-1990 ISBN-13: 978-0-444-70260-9 ISBN-10: 0-444-70260-1 Imprint: NORTH-HOLLAND Price and Ordering Price: EUR 331 GBP 221 USD 331 Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries. See also information about conditions of sale & ordering procedures, and links to our regional sales offices. 050/500 Last update: 26 Sep 2008	Book contents Table of contents Reviews View other people's reviews Submit your review Bookmark this page Recommend this publication Overview of all books