Characterization of principal bundles: the commutative case
General Mathematics
2023-10-09 v1
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.
Keywords
Cite
@article{arxiv.2310.03824,
title = {Characterization of principal bundles: the commutative case},
author = {William J. Ugalde},
journal= {arXiv preprint arXiv:2310.03824},
year = {2023}
}
Comments
LaTeX, 38 pages