STRONG TOPOLOGIES FOR SPACES OF SMOOTH MAPS WITH INFINITE-DIMENSIONAL TARGET

@article{Hjelle2016STRONGTF,
title={STRONG TOPOLOGIES FOR SPACES OF SMOOTH MAPS WITH INFINITE-DIMENSIONAL TARGET},
author={Eivind Otto Hjelle and Alexander Schmeding},
journal={arXiv: General Topology},
year={2016}
}
• Published 2016
• Mathematics
• arXiv: General Topology
In this article we study two "strong" topologies for spaces of smooth functions from a finite-dimensional manifold to a (possibly infinite-dimensional) manifold modeled on a locally convex space. Namely, we construct Whitney type topologies for these spaces and a certain refinement corresponding to Michor's $\mathcal{FD}$-topology. Then we establish the continuity of certain mappings between spaces of smooth mappings, e.g.\ the continuity of the joint composition map. As a first application we… Expand
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