Complex topological K-theory:
Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
111 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 Online-Ressource (x, 208 Seiten) |
| ISBN: | 9780511611476 |
| DOI: | 10.1017/CBO9780511611476 |
Internformat
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| 505 | 8 | |a Preliminaries -- K-theory -- Additional structure -- Characteristic classes | |
| 520 | |a Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory | ||
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Datensatz im Suchindex
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| author | Park, Efton |
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| bvnumber | BV043940606 |
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| collection | ZDB-20-CBO |
| contents | Preliminaries -- K-theory -- Additional structure -- Characteristic classes |
| ctrlnum | (ZDB-20-CBO)CR9780511611476 (OCoLC)850797947 (DE-599)BVBBV043940606 |
| dewey-full | 514.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.23 |
| dewey-search | 514.23 |
| dewey-sort | 3514.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511611476 |
| format | Electronic eBook |
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| id | DE-604.BV043940606 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511611476 |
| language | English |
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| publishDate | 2008 |
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| spelling | Park, Efton Verfasser (DE-588)134078616 aut Complex topological K-theory Efton Park Cambridge Cambridge University Press 2008 1 Online-Ressource (x, 208 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 111 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Preliminaries -- K-theory -- Additional structure -- Characteristic classes Topological K-theory is a key tool in topology, differential geometry and index theory, yet this is the first contemporary introduction for graduate students new to the subject. No background in algebraic topology is assumed; the reader need only have taken the standard first courses in real analysis, abstract algebra, and point-set topology. The book begins with a detailed discussion of vector bundles and related algebraic notions, followed by the definition of K-theory and proofs of the most important theorems in the subject, such as the Bott periodicity theorem and the Thom isomorphism theorem. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological K-theory Algebraic topology K-theory Topologische K-Theorie (DE-588)4334283-8 gnd rswk-swf Topologische K-Theorie (DE-588)4334283-8 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-85634-8 Cambridge studies in advanced mathematics 111 (DE-604)BV044781283 111 https://doi.org/10.1017/CBO9780511611476 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Park, Efton Complex topological K-theory Cambridge studies in advanced mathematics Preliminaries -- K-theory -- Additional structure -- Characteristic classes Algebraic topology K-theory Topologische K-Theorie (DE-588)4334283-8 gnd |
| subject_GND | (DE-588)4334283-8 |
| title | Complex topological K-theory |
| title_auth | Complex topological K-theory |
| title_exact_search | Complex topological K-theory |
| title_full | Complex topological K-theory Efton Park |
| title_fullStr | Complex topological K-theory Efton Park |
| title_full_unstemmed | Complex topological K-theory Efton Park |
| title_short | Complex topological K-theory |
| title_sort | complex topological k theory |
| topic | Algebraic topology K-theory Topologische K-Theorie (DE-588)4334283-8 gnd |
| topic_facet | Algebraic topology K-theory Topologische K-Theorie |
| url | https://doi.org/10.1017/CBO9780511611476 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT parkefton complextopologicalktheory |