Approximation of volume-preserving homeomorphisms by volume-preserving diffeomorphisms

Details Approximation of volume-preserving homeomorphisms by volume-preserving diffeomorphisms Approximation of volume-preserving homeomorphisms by volume-preserving diffeomorphisms

2009-01-08

arxiv.org/abs/0901.1002v3

Mathematics

Dynamical Systems

v1: 6 pages, no figures, one question for the reader, v2: 8 pages, some mistakes corrected, more questions added, v3: minor co

Scientific paper

Given a volume-preserving homeomorphism of a smooth manifold of dimension
greater or equal to 5, we give a necessary and sufficient condition for uniform
approximability by (volume-preserving) diffeomorphisms.

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