TY  - BOOK
AU  - Park,Efton
TI  - Complex topological K-theory
T2  - Cambridge studies in advanced mathematics
SN  - 9780511611476 (ebook)
AV  - QA612 .P37 2008
U1  - 514.23 22
PY  - 2008///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Algebraic topology
KW  - K-theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Preliminaries -- K-theory -- Additional structure -- Characteristic classes
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511611476
ER  -