Fundamentals of algebraic topology /
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 resul...
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| Format: | E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2014.
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| Schriftenreihe: | Graduate Texts in Mathematics
270 |
| Schlagworte: | |
| Online Zugang: | Click here to view the full text content |
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| Zusammenfassung: | 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. |
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| Beschreibung: | 1 online resource (X, 163 pages.) 82 illustrations. digital |
| ISBN: | 9781493918447 |
| ISSN: | 0072-5285 |