Classification Theory and the Number of Non Isomorphic Models

Classification Theory and the Number of Non Isomorphic Models

by Saharon Shelah

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Product Details

ISBN-13: 9780720407570
Publisher: Elsevier Science & Technology Books
Publication date: 12/01/1978
Series: Studies in Logic and the Foundations of Mathematics Ser. , #92
Pages: 544

Table of 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 FaNo-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.

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