Stretching the Oxtoby-Ulam Theorem

• Autorzy: Ethan Akin
• Języki publikacji: EN

Abstrakty

EN

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 recently shown that density of periodic points is residual as well. We provide a proof of their result which replaces the dependence upon the Annulus Theorem by a direct construction which assures topologically robust periodic points.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 1
• Strony: 83-94

Daty

wydano

2000

otrzymano

1999-05-20

poprawiono

2000-02-18

Twórcy

autor

Ethan Akin

• Mathematics Department, The City College, 137 Street and Convent Avenue, New York, NY 10031, U.S.A.

Bibliografia

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