| 书目名称 | Stable Homotopy Groups of Spheres |
| 副标题 | A Computer-Assisted |
| 编辑 | Stanley O. Kochman |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. After the tools for this analysis are developed, these methods are applied to compute inductively the first 64 stable stems, a substantial improvement over the previously known 45. Much of this computation is algorithmic and is done by computer. As an application, an element of degree 62 of Kervaire invariant one is shown to have order two. This book will be useful to algebraic topologists and graduate students with a knowledge of basic homotopy theory and Brown-Peterson homology; for its methods, as a reference on the structure of the first 64 stable stems and for the tables depicting the behavior of the Atiyah-Hirzebruch and classical Adams spectral sequences through degree 64. |
| 出版日期 | Book 1990 |
| 关键词 | Algebraic topology; Atiyah-Hirzebruch spectral sequence; Homotopy; Homotopy group; homology; homotopy the |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0083795 |
| isbn_softcover | 978-3-540-52468-7 |
| isbn_ebook | 978-3-540-46993-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1990 |
发表于 2025-3-21 16:04:45
