| 书目名称 | Surgery Theory | | 副标题 | Foundations | | 编辑 | Wolfgang Lück,Tibor Macko | | 视频video | | | 概述 | A comprehensive reference on surgery theory and its applications.Provides full details and clarifies many gaps in the literature.Includes 180 advanced exercises with solutions | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | .This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds..Surgery theory was developed to carry out the so-called Surgery Program, a basic strategy to decide whether two closed manifolds are homeomorphic or diffeomorphic. This book provides a detailed explanation of all the ingredients necessary for carrying out the surgery program, as well as an in-depth discussion of the obstructions that arise. The components include the surgery step, the surgery obstruction groups, surgery obstructions, and the surgery exact sequence. This machinery is applied to homotopy spheres, the classification of certain fake spaces, and topological rigidity. The book also offers a detailed description of Ranicki‘s chain complex version, complete with a proof of its equivalence to the classical approach developed by Browder, Novikov, Sullivan, and Wall..This book has been written for learning surgery theory and includes numerous exercises. With full proofs and detailed explanations, it also provides an invaluable reference for working mathematicians. Each chapter has been designed to be largely self-contained and includes a guide to help rea | | 出版日期 | Book 2024 | | 关键词 | surgery step; normal map; Poincare complexes; L-groups; surgery obstructions; surgery exact sequence; alge | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-56334-8 | | isbn_ebook | 978-3-031-56334-8Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:15:38
