Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載


Introduction to Homotopy Theory

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Introduction to Homotopy Theory pdf epub mobi 圖書描述

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. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. 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 algebraic topology course. The intended audience would be advanced undergraduates or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory.

Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載

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Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載

Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載

Introduction to Homotopy Theory 2024 pdf epub mobi 電子書 下載



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出版者:Springer
作者:Martin Arkowitz
出品人:
頁數:357
譯者:
出版時間:2011-7-25
價格:USD 74.95
裝幀:Paperback
isbn號碼:9781441973283
叢書系列:universitext

圖書標籤: 數學  同調  同倫  Universitext  Springer  Homotopy  Homology  2011   


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