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Stable Domination and Independence in Algebraically Closed Valued Fields.
・ISBN 978-0-521-88981-0 hard GB£ 120.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54647-1
| 著者・編者 | Haskell, Deirdre / Hrushovski, Ehud / Macpherson, Dugald, |
|---|---|
| シリーズ | Lecture Notes in Logic |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2007 |
| ページ数 | 194 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8994＞ |
解説
This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a stable theory. This part begins with an introduction to the key ideas of stability theory for stably dominated types. Part II continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part.