• DOI:10.1515/ADVGEOM.2009.032
Corpus ID: 16647025

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

@article{Muller2009EquivalencesOS,
  title={Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group},
  author={C. Muller and Christoph Wockel},
  journal={Advances in Geometry},
  year={2009},
  volume={9}
}

C. Muller, Christoph Wockel

Published 2009

Mathematics

Advances in Geometry

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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.