| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658451 | Topology and its Applications | 2014 | 5 Pages |
Abstract
We prove that a compactly supported homeomorphism of a smooth manifold of dimension n≥5n≥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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Stefan Müller,