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...
Saved in:
| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2016
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| Series: | Perspectives in logic
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| Subjects: | |
| Links: | https://doi.org/10.1017/9781316717035 https://doi.org/10.1017/9781316717035 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 18 Apr 2017) |
| Physical Description: | 1 online resource (xiii, 447 pages) |
| ISBN: | 9781316717035 |
| DOI: | 10.1017/9781316717035 |
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| isbn | 9781316717035 |
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| spelling | Baldwin, John T. Verfasser aut Fundamentals of stability theory John T. Baldwin Cambridge Cambridge University Press 2016 1 online resource (xiii, 447 pages) txt rdacontent c rdamedia cr rdacarrier Perspectives in logic Title from publisher's bibliographic system (viewed on 18 Apr 2017) 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 Model theory Stability Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Stabilitätstheorie Logik (DE-588)4433824-7 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Modelltheorie (DE-588)4114617-7 s Stabilität (DE-588)4056693-6 s 2\p DE-604 Stabilitätstheorie Logik (DE-588)4433824-7 s 3\p DE-604 Algebraische Struktur (DE-588)4001166-5 s 4\p DE-604 Erscheint auch als Druck-Ausgabe, hardback 978-1-107-16809-1 https://doi.org/10.1017/9781316717035 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baldwin, John T. Fundamentals of stability theory Model theory Stability Algebraische Struktur (DE-588)4001166-5 gnd Modelltheorie (DE-588)4114617-7 gnd Stabilität (DE-588)4056693-6 gnd Stabilitätstheorie Logik (DE-588)4433824-7 gnd |
| subject_GND | (DE-588)4001166-5 (DE-588)4114617-7 (DE-588)4056693-6 (DE-588)4433824-7 (DE-588)4151278-9 |
| 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 |
| topic | Model theory Stability Algebraische Struktur (DE-588)4001166-5 gnd Modelltheorie (DE-588)4114617-7 gnd Stabilität (DE-588)4056693-6 gnd Stabilitätstheorie Logik (DE-588)4433824-7 gnd |
| topic_facet | Model theory Stability Algebraische Struktur Modelltheorie Stabilität Stabilitätstheorie Logik Einführung |
| url | https://doi.org/10.1017/9781316717035 |
| work_keys_str_mv | AT baldwinjohnt fundamentalsofstabilitytheory |