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 .
KeywordsEquivalence Class Transition Function Topological Group Open Cover Principal Bundle
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