Fundamentals of stability theory:
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspec...
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| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2016
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| Series: | Perspectives in logic
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| Links: | https://doi.org/10.1017/9781316717035 |
| Summary: | Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspectives in Logic series, John T. Baldwin presents an introduction to first order stability theory, organized around the spectrum problem: calculate the number of models a first order theory T has in each uncountable cardinal. The author first lays the groundwork and then moves on to three sections: independence, dependence and prime models, and local dimension theory. The final section returns to the spectrum problem, presenting complete proofs of the Vaught conjecture for ω-stable theories for the first time in book form. The book provides much-needed examples, and emphasizes the connections between abstract stability theory and module theory. |
| Physical Description: | 1 Online-Ressource (xiii, 447 Seiten) |
| ISBN: | 9781316717035 |
Staff View
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| spelling | Baldwin, John T. Fundamentals of stability theory John T. Baldwin Cambridge Cambridge University Press 2016 1 Online-Ressource (xiii, 447 Seiten) txt c cr Perspectives in logic Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the twelfth publication in the Perspectives in Logic series, John T. Baldwin presents an introduction to first order stability theory, organized around the spectrum problem: calculate the number of models a first order theory T has in each uncountable cardinal. The author first lays the groundwork and then moves on to three sections: independence, dependence and prime models, and local dimension theory. The final section returns to the spectrum problem, presenting complete proofs of the Vaught conjecture for ω-stable theories for the first time in book form. The book provides much-needed examples, and emphasizes the connections between abstract stability theory and module theory. Erscheint auch als Druck-Ausgabe 9781107168091 |
| spellingShingle | Baldwin, John T. Fundamentals of stability theory |
| title | Fundamentals of stability theory |
| title_auth | Fundamentals of stability theory |
| title_exact_search | Fundamentals of stability theory |
| title_full | Fundamentals of stability theory John T. Baldwin |
| title_fullStr | Fundamentals of stability theory John T. Baldwin |
| title_full_unstemmed | Fundamentals of stability theory John T. Baldwin |
| title_short | Fundamentals of stability theory |
| title_sort | fundamentals of stability theory |
| work_keys_str_mv | AT baldwinjohnt fundamentalsofstabilitytheory |