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Complex Topological K-Theory

$105.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 2008
  • availability: In stock
  • format: Hardback
  • isbn: 9780521856348

$ 105.00 (P)
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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.

    • Needs no prior knowledge of K-theory or algebraic topology
    • Approaches K-theory from both a topological and an algebraic viewpoint
    • Exercises at the end of each chapter make this the definitive book for a first graduate text on topological K-Theory
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    Reviews & endorsements

    '… the presentation is very nice and the book can be strongly recommended.' European Mathematical Society Newsletter

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    Product details

    • Date Published: March 2008
    • format: Hardback
    • isbn: 9780521856348
    • length: 218 pages
    • dimensions: 233 x 157 x 12 mm
    • weight: 0.428kg
    • contains: 43 b/w illus. 43 exercises
    • availability: In stock
  • Table of Contents

    1. Preliminaries
    2. K-Theory
    3. Additional structure
    4. Characteristic classes
    Bibliography
    Symbol index
    Subject index.

  • Resources for

    Complex Topological K-Theory

    Efton Park

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  • Author

    Efton Park, Texas Christian University
    Efton Park is a Professor in the Department of Mathematics at Texas Christian University.

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