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Characterization of principal bundles: the commutative case

2023/10/05 by Ugalde, William J.
#18F15 #FOS: Mathematics #General Mathematics (math.GM) #Primary: 57R22 Secondary: 58D19

paper · doi:10.48550/arxiv.2310.03824

Abstract

A review of the characterization of principal bundles, through the different properties of the action of a group and its related canonical and translation maps, is presented. The work is divided in three stages: a topological group acting on a topological space, a discrete group acting on a smooth manifold, and a Lie group acting on a smooth manifold.

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