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Fibre Bundles

  • Textbook
  • © 1966

Overview

Authors:
  1. Dale Husemoller

    1. Department of Mathematics, Haverford College, Haverford, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 20)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xv
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  2. Preliminaries on Homotopy Theory

    1. Preliminaries on Homotopy Theory

      • Dale Husemoller
      Pages 1-8

  3. The General Theory of Fibre Bundles

    1. Front Matter

      Pages 9-9
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    2. Generalities on Bundles

      • Dale Husemoller
      Pages 11-22

    3. Vector Bundles

      • Dale Husemoller
      Pages 23-38

    4. General Fibre Bundles

      • Dale Husemoller
      Pages 39-58

    5. Local Coordinate Description of Fibre Bundles

      • Dale Husemoller
      Pages 59-69

    6. Change of Structure Group in Fibre Bundles

      • Dale Husemoller
      Pages 70-74

    7. Calculations Involving the Classical Groups

      • Dale Husemoller
      Pages 75-95

  4. Elements of K-Theory

    1. Front Matter

      Pages 97-97
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    2. Stability Properties of Vector Bundles

      • Dale Husemoller
      Pages 99-109

    3. Relative K-Theory

      • Dale Husemoller
      Pages 110-127

    4. Bott Periodicity in the Complex Case

      • Dale Husemoller
      Pages 128-138

    5. Clifford Algebras

      • Dale Husemoller
      Pages 139-158

    6. The Adams Operations and Representations

      • Dale Husemoller
      Pages 159-175

    7. Representation Rings of Classical Groups

      • Dale Husemoller
      Pages 176-195

    8. The Hopf Invariant

      • Dale Husemoller
      Pages 196-202

    9. Vector Fields on the Sphere

      • Dale Husemoller
      Pages 203-228

  5. Characteristic Classes

    1. Front Matter

      Pages 229-229
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    2. Chern Classes and Stiefel-Whitney Classes

      • Dale Husemoller
      Pages 231-247
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Keywords

Authors and Affiliations

  • Department of Mathematics, Haverford College, Haverford, USA

    Dale Husemoller

Bibliographic Information

  • Book Title: Fibre Bundles

  • Authors: Dale Husemoller

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-4008-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Dale Hausemoller 1966

  • eBook ISBN: 978-1-4757-4008-0Published: 29 June 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XV, 327

  • Additional Information: Originally published by McGraw-Hill 1966

  • Topics: Topology

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