Stretching the Oxtoby-Ulam Theorem
Ethan Akin · Colloquium Mathematicum · 2000
On a manifold X of dimension at least two, let μ be a nonatomic measure of full support with μ(∂X) = 0. The Oxtoby-Ulam Theorem says that ergodicity of μ is a residual property in the group of homeomorphisms which preserve μ. Daalderop and Fokkink have re