2009-10-01Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.032
Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group
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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