Principal Bundles

  • Gregory L. Naber
Part of the Texts in Applied Mathematics book series (TAM, volume 25)


In this chapter we meld together locally trivial bundles and group actions to arrive at the notion of a C 0 (continuous) principal bundle (smoothness hypotheses are added in Chapter 5). The source of our interest in these structures was discussed at some length in Chapter 0, where we also suggested that principal bundles over spheres were of particular significance. Our goal here is to use the homotopy-theoretic information assembled in Chapter 2 to classify the principal bundles over S n .


Transition Function Homotopy Class Principal Bundle Trivial Bundle Cocycle Condition 
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  1. Dug.
    Dugundji, J., Topology, Allyn and Bacon, Boston, 1966.Google Scholar
  2. St.
    Steenrod, N., The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, N.J., 1951.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Gregory L. Naber
    • 1
  1. 1.Department of MathematicsDrexel UniversityPhiladelphiaUSA

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