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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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Complex Topological K-Theory
2008, Cambridge University Press
eBook
in English
0511380879 9780511380877
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- Created June 23, 2010
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November 19, 2022 | Edited by ImportBot | import existing book |
August 4, 2013 | Edited by VacuumBot | Updated format 'E-book' to 'eBook' |
April 3, 2013 | Edited by VacuumBot | Updated format 'eBook' to 'E-book'; Removed author from Edition (author found in Work) |
April 29, 2011 | Edited by OCLC Bot | Added OCLC numbers. |
June 23, 2010 | Created by ImportBot | Imported from marc_overdrive MARC record |