In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.
Spera, M., Wurzbacher, T., Good coverings for section spaces of fibre bundles, <<TOPOLOGY AND ITS APPLICATIONS>>, N/A; 157 (N/A): 1081-1085. [doi:10.1016/j.topol.2010.01.008] [http://hdl.handle.net/10807/35975]
Good coverings for section spaces of fibre bundles
Spera, Mauro;
2010
Abstract
In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case.
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