Displaying similar documents to “Smooth structures on C ( M , N )

Manifolds of smooth maps

P. Michor (1978)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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A generalization of Steenrod’s approximation theorem

Christoph Wockel (2009)

Archivum Mathematicum

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In this paper we aim for a generalization of the Steenrod Approximation Theorem from [16, Section 6.7], concerning a smoothing procedure for sections in smooth locally trivial bundles. The generalization is that we consider locally trivial smooth bundles with a possibly infinite-dimensional typical fibre. The main result states that a continuous section in a smooth locally trivial bundles can always be smoothed out in a very controlled way (in terms of the graph topology on spaces of...