# Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group

@article{Muller2006EquivalencesOS, title={Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group}, author={Christophe Muller and Christoph Wockel}, journal={Advances in Geometry}, year={2006}, volume={9} }

Let K be a Lie group, modeled on a locally convex space, and M a finite-dimensional paracompact manifold with corners. We show that each continuous principal K-bundle over M is continuously equivalent to a smooth one and that two smooth principal K-bundles over M which are continuously equivalent are also smoothly equivalent. In the concluding section, we relate our results to neighboring topics.

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