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Classification Theory: and the Number of Non-Isomorphic Models (Volume 92) (Studies in Logic and the Foundations of Mathematics, Volume 92) - Hardcover
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Inhaltsangabe
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
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Críticas
P. SmithThis exhaustive compendium of results in stability theory and classification theory will remain the ultimate reference for researchers in the field until the time comes for the author to revise it again.Mathematical ReviewsThis is a very important book for all model theorists...Revue Roumaine de Mathematiques Pures et Appliquees
Reseña del editor
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.
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- VerlagNorth-Holland
- Erscheinungsdatum1990
- ISBN 10 0444702601
- ISBN 13 9780444702609
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten740
- Kontakt zum HerstellerNicht verfügbar
(Keine Angebote verfügbar)
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