Mendeley出力
＜図書＞
Nilpotence and periodicity in stable homotopy theory
| 責任表示 | by Douglas C. Ravenel |
|---|---|
| シリーズ | Annals of mathematics studies ; no. 128 |
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , 1992 |
| 本文言語 | 英語 |
| 大きさ | xiv, 209 p. ; 25 cm |
| 概要 | Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectu...ed by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K- theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group. Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K- theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6822800 |
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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理系図3F 数理独自 | RAVE/10/2 | 1992 |
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068222193001936 |
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理系図 自動書庫 | 415.7/R 18/58942638 | 1992 |
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068582194026388 |
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書誌詳細
| 一般注記 | Bibliography: p. 195-204 Includes idex |
|---|---|
| 著者標目 | *Ravenel, Douglas C. |
| 件 名 | LCSH:Homotopy theory |
| 分 類 | LCC:QA612.7 DC20:514/.24 NDC8:415.7 |
| 書誌ID | 1000033980 |
| ISBN | 069108792X |
| NCID | BA19074640 |
| 巻冊次 | ISBN:069108792X : pbk ; ISBN:069102572X |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.11.02 |