Resumen de Genericity of infinite entropy for maps with low regularity
Edson de Faria, Peter Hazard, Charles Tresser
For bi-Lipschitz homeomorphisms of a compact manifold it is known that topological entropy is always finite. For compact manifolds of dimension two or greater, we show that in the closure of the space of bi-Lipschitz homeomor- phisms, with respect to either the H ̈older or the Sobolev topologies, topological entropy is generically infinite. We also prove versions of the C1-Closing Lemma in either of these spaces. Finally, we give examples of homeomorphisms with infinite topological entropy which are H ̈older and/or Sobolev of every exponent.
