| 书目名称 | Introduction to Homotopy Theory | | 编辑 | Martin Arkowitz | | 视频video | | | 概述 | Carefully written treatment of a basic subject by a research worker in the field.Provides motivation with many illustrations and exercises.Exposition moves at a moderate pace, even in the later chapte | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. .The underlying theme of the entire book is the Eckmann-Hilton duality theory. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory. These topics are discussed in the appendices. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.. | | 出版日期 | Textbook 2011 | | 关键词 | Eilenberg-Mac Lane and Moore spaces; H-spaces and co-H-spaces; fiber and cofiber spaces; homotopy; homot | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4419-7329-0 | | isbn_softcover | 978-1-4419-7328-3 | | isbn_ebook | 978-1-4419-7329-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Science+Business Media, LLC 2011 |
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发表于 2025-3-21 17:18:01
