| 書目名稱 | K-Theory | | 副標題 | An Introduction | | 編輯 | Max Karoubi | | 視頻video | http://file.papertrans.cn/542/541612/541612.mp4 | | 概述 | Recognized classics and standard reference for the subject | | 叢書名稱 | Classics in Mathematics | | 圖書封面 |  | | 描述 | .From the Preface: K.-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch ?con-sidered a topological analog defined for any compact space .X., a group .K{X). constructed from the category of vector bundles on X. It is this ‘‘topological .K.-theory" that this book will study.?Topological?.K.-theory has become an important tool in topology. Using?.K.- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with .H.-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory..The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with | | 出版日期 | Book 1978 | | 關(guān)鍵詞 | Algebraic topology; Compact space; Homotopy; Homotopy group; K-theory; algebra; applications of K-Theory; h | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-79890-3 | | isbn_softcover | 978-3-540-79889-7 | | isbn_ebook | 978-3-540-79890-3Series ISSN 1431-0821 Series E-ISSN 2512-5257 | | issn_series | 1431-0821 | | copyright | Springer-Verlag Berlin Heidelberg 1978 |
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