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arXiv · 2310.03824

Characterization of principal bundles: the commutative case

William J. Ugalde
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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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William J. Ugalde. 2023-10-05. Characterization of principal bundles: the commutative case. https://arxiv.org/abs/2310.03824

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