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Classification theory and the number of non-isomorphic models /
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 coun...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1990.
|
| Edición: | Rev. ed. |
| Colección: | Studies in logic and the foundations of mathematics ;
v. 92. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 082 | 0 | 4 | |a 511/.8 |2 22 |
| 100 | 1 | |a Shelah, Saharon. | |
| 245 | 1 | 0 | |a Classification theory and the number of non-isomorphic models / |c S. Shelah. |
| 250 | |a Rev. ed. | ||
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1990. | ||
| 300 | |a 1 online resource (xxxiv, 705 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in logic and the foundations of mathematics ; |v v. 92 | |
| 520 | |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. | ||
| 504 | |a Includes bibliographical references (pages 684-690) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |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. | |
| 650 | 0 | |a Model theory. | |
| 650 | 6 | |a Th�eorie des mod�eles. |0 (CaQQLa)201-0015270 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Model theory. |2 fast |0 (OCoLC)fst01024368 | |
| 650 | 7 | |a Logica Matematica. |2 larpcal | |
| 653 | |a Mathematical models | ||
| 776 | 0 | 8 | |i Print version: |a Shelah, Saharon. |t Classification theory and the number of non-isomorphic models. |b Rev. ed. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1990 |z 0444702601 |z 9780444702609 |w (DLC) 89029756 |w (OCoLC)20670376 |
| 830 | 0 | |a Studies in logic and the foundations of mathematics ; |v v. 92. | |
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| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=0049237X&volume=92 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/0049237X/92 |z Texto completo |