<図書>
Tame topology and o-minimal structures
責任表示 | Lou van den Dries |
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シリーズ | London Mathematical Society lecture note series ; 248 |
データ種別 | 図書 |
出版情報 | Cambridge : Cambridge University Press , 1998 |
本文言語 | 英語 |
大きさ | x, 180 p. ; 23 cm |
概要 | Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a se...f-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. It starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of o-minimal structures, the Vapnik-Chervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/7015872 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: pbk | 数理 離散数理 | VAND/5/1 | c1998 |
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023211998004903 |
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書誌詳細
一般注記 | Includes bibliographical references and index |
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著者標目 | *Van den Dries, Lou |
件 名 | LCSH:Topology LCSH:Ordered algebraic structures |
分 類 | LCC:QA611 DC21:514 NDC8:415 |
書誌ID | 1001394391 |
ISBN | 0521598389 |
NCID | BA3581352X |
巻冊次 | : pbk ; ISBN:0521598389 |
登録日 | 2009.11.02 |
更新日 | 2017.02.18 |