Uniform approximation of homeomorphisms by diffeomorphisms - Mathematics > Dynamical SystemsReport as inadecuate




Uniform approximation of homeomorphisms by diffeomorphisms - Mathematics > Dynamical Systems - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove that a compactly supported homeomorphism of a smooth manifold ofdimension greater or equal to 5 can be approximated uniformly by compactlysupported diffeomorphisms if and only if it is isotopic to a diffeomorphism. Ifthe given homeomorphism is in addition volume preserving, then it can beapproximated uniformly by volume preserving diffeomorphisms.



Author: Stefan Müller

Source: https://arxiv.org/







Related documents