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A Guide to NIP Theories.
・ISBN 978-1-107-05775-3 hard GB£ 121.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-107-41513-3
| 著者・編者 | Simon, Pierre, |
|---|---|
| シリーズ | Lecture Notes in Logic |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2015 |
| ページ数 | 166 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-9267> |
解説
The study of NIP theories has received much attention from model theorists in the last decade, fuelled by applications to o-minimal structures and valued fields. This book, the first to be written on NIP theories, is an introduction to the subject that will appeal to anyone interested in model theory: graduate students and researchers in the field, as well as those in nearby areas such as combinatorics and algebraic geometry. Without dwelling on any one particular topic, it covers all of the basic notions and gives the reader the tools needed to pursue research in this area. An effort has been made in each chapter to give a concise and elegant path to the main results and to stress the most useful ideas. Particular emphasis is put on honest definitions, handling of indiscernible sequences and measures. The relevant material from other fields of mathematics is made accessible to the logician.