Fundamentals of Algebraic Topology / / by Steven H. Weintraub
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| Autore: |
Weintraub Steven H
|
| Titolo: |
Fundamentals of Algebraic Topology / / by Steven H. Weintraub
|
| Pubblicazione: | New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (X, 163 p. 82 illus.) |
| Disciplina: | 514.2 |
| Soggetto topico: | Algebraic topology |
| Manifolds (Mathematics) | |
| Complex manifolds | |
| Category theory (Mathematics) | |
| Homological algebra | |
| Algebraic Topology | |
| Manifolds and Cell Complexes (incl. Diff.Topology) | |
| Category Theory, Homological Algebra | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Preface -- 1. The Basics -- 2. The Fundamental Group -- 3. Generalized Homology Theory -- 4. Ordinary Homology Theory -- 5. Singular Homology Theory -- 6. Manifolds -- 7. Homotopy Theory -- 8. Homotopy Theory -- A. Elementary Homological Algebra -- B. Bilinear Forms.- C. Categories and Functors -- Bibliography -- Index. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Fundamentals of algebraic topology |
| ISBN: | 1-4939-1844-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299968503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Graduate Texts in Mathematics, . 0072-5285 ; ; 270