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110501 ||| eng |
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|a 9780444702609
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| 020 |
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|a 9780080880242
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| 020 |
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|a 0444702601
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| 050 |
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4 |
|a QA9.7
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| 100 |
1 |
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|a Shelah, Saharon
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| 245 |
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|a Classification theory and the number of non-isomorphic models
|c S. Shelah
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| 250 |
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|a Rev. ed
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| 260 |
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|a Amsterdam
|b North-Holland
|c 1990, 1990
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| 300 |
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|a xxxiv, 705 pages
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| 505 |
0 |
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|a Front Cover; Classification Theory and the Number of Non-Isomorphic Models; Copyright Page; Contents; Acknowledgements; Introduction; Introduction to the revised edition; Open problems; Added in proof; Notation; Chapter I. Preliminaries; Chapter II. Ranks and Incomplete Types; Chapter III. Global Theory; Chapter IV. Prime Models; Chapter V. More on Types and Saturated Models; Chapter VI. Saturation of Ultraproducts; Chapter VII. Construction of Models; Chapter VIII. The Number of Non-Isomorphic Models in Pseudo-Elementary
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| 505 |
0 |
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|a Includes bibliographical references (pages 684-690) and indexes
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| 653 |
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|a Théorie des modèles
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| 653 |
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|a Logica Matematica / larpcal
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| 653 |
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|a Mathematical models
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| 653 |
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|a Model theory / http://id.loc.gov/authorities/subjects/sh85086421
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| 653 |
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|a Model theory / fast / (OCoLC)fst01024368
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| 653 |
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|a MATHEMATICS / General / bisacsh
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
0 |
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|a Studies in logic and the foundations of mathematics
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| 776 |
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|z 008088024X
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| 776 |
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|z 9780080880242
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| 856 |
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|u https://www.sciencedirect.com/science/bookseries/0049237X/92
|x Verlag
|3 Volltext
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| 082 |
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|a 511/.8
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| 520 |
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|a 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 mM. This theorem is also the subject of Chapter XIII.
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