| 書(shū)目名稱(chēng) | Fundamentals of Algebraic Topology | | 編輯 | Steven H. Weintraub | | 視頻video | http://file.papertrans.cn/351/350124/350124.mp4 | | 概述 | Covers the essential results of algebraic topology in a concise and pragmatic manner.Provides an introduction to manifolds, CW complexes, and homotopy theory.Explains applications of algebraic topolog | | 叢書(shū)名稱(chēng) | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated..Assuming a background in point-set topology, .Fundamentals of Algebraic Topology. covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.. | | 出版日期 | Textbook 2014 | | 關(guān)鍵詞 | Algebraic Topology; Homology Theory; Homotopy Theory; Manifolds | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-1844-7 | | isbn_softcover | 978-1-4939-4885-7 | | isbn_ebook | 978-1-4939-1844-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2014 |
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