书目名称 | Involutions on Manifolds | 编辑 | Santiago López de Medrano | 视频video | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | 图书封面 |  | 描述 | This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author‘s doctoral dissertation [54J written under the direction of Professor William Browder. The subject of fixed-paint-free involutions, as part of the subject of group actions on manifolds, has been an important source of problems, examples and ideas in topology for the last four decades, and receives renewed attention every time a new technical development suggests new questions and methods ([62, 8, 24, 63J). Here we consider mainly those properties of fixed-point-free involutions that can be best studied using the techniques of surgery on manifolds. This approach to the subject was initiated by Browder and Livesay. Special attention is given here to involutions of homotopy spheres, but even for this particular case, a more general theory is very useful. Two important related topics that we do not touch here are those of involutions with fixed points, and the relationship between fixed-point-free involutions and free Sl-actions. For these topics, the reader is referred to [23J, and to [33J, [61J, [82J, respectively. The two main | 出版日期 | Book 1971 | 关键词 | Invariant; Mannigfaltigkeit; homology; homotopy; manifold; proof; theorem; topology | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-65012-3 | isbn_softcover | 978-3-642-65014-7 | isbn_ebook | 978-3-642-65012-3 | copyright | Springer-Verlag Berlin Heidelberg 1971 |
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