| 书目名称 | Using the Borsuk-Ulam Theorem | | 副标题 | Lectures on Topologi | | 编辑 | Jiří Matoušek | | 视频video | | | 概述 | The only textbook on these topics.The author is an outstanding researcher.Includes supplementary material: | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists...This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. ..At the same time, many substantial combinatorial results are covered, sometimes with some of the most important results, such as Kneser‘s conjecture, showing them from various points of view...The history of the presented material, references, related results, and more advanced methods are surveyed | | 出版日期 | Textbook 2003 | | 关键词 | Combinatorics; applications of algebraic topology; discrete geometry; algebra; algebraic topology; combin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-76649-0 | | isbn_softcover | 978-3-540-00362-5 | | isbn_ebook | 978-3-540-76649-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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发表于 2025-3-21 16:22:20
