Uniform Approximation of Homeomorphisms by DiffeomorphismsTopology and its Applications (2014)
We prove that a compactly supported homeomorphism of a smooth manifold of dimension n≥5 can be approximated uniformly by compactly supported diffeomorphisms if and only if it is isotopic to a diffeomorphism. If the given homeomorphism is in addition volume preserving, then it can also be approximated uniformly by volume preserving diffeomorphisms.
- Uniform approximation,
- Volume preserving
Publication DateDecember, 2014
Citation InformationStefan Müller. "Uniform Approximation of Homeomorphisms by Diffeomorphisms" Topology and its Applications Vol. 178 (2014) p. 315 - 319
Available at: http://works.bepress.com/stefan-muller/3/