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
  • 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. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 60 REFERENCES
    Topology of Fibre Bundles
    • 1,706
    The Convenient Setting of Global Analysis
    • 1,035
    • PDF
    Introduction to Smooth Manifolds
    • 2,257
    • PDF
    Fundamentals of direct limit Lie theory
    • 17
    Fundamentals of direct limit Lie theory
    • 30
    • PDF