Abstract
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.
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References
Dugundji, J., Topology, Allyn and Bacon, Boston, 1966.
Steenrod, N., The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, N.J., 1951.
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Naber, G.L. (2011). Principal Bundles. In: Topology, Geometry and Gauge fields. Texts in Applied Mathematics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7254-5_4
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DOI: https://doi.org/10.1007/978-1-4419-7254-5_4
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Print ISBN: 978-1-4419-7253-8
Online ISBN: 978-1-4419-7254-5
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