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Fundamentals of Algebraic Topology. 2014 ed..
・ISBN 978-1-4939-1843-0 hard EUR 49.99
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| 著者・編者 | Weintraub, Steven H., |
|---|---|
| シリーズ | Graduate Texts in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2014 |
| ページ数 | 163 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-19133＞ |
解説
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.