Principal Bundles

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

Abstract

In this chapter we meld together locally trivial bundles and group actions to arrive at the notion of a C ° (continuous) principal bundle (smoothness hypotheses are added in Chapter 4) . The source of our interest in these structures was discussed at some length in Chapter 0, where we also sug-gested 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 .

Keywords

Equivalence Class Transition Function Topological Group Open Cover Principal Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Gregory L. Naber
    • 1
  1. 1.Department of Mathematics and StatisticsCalifornia State University, ChicoChicoUSA

Personalised recommendations