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math.DS2008
Codimension one generic homoclinic classes with interior
Rafael Potrie, Martin Sambarino
We study generic diffeomorphisms with a homoclinc class with non empty interior and in particular those admitting a codimension one dominated splitting. We prove that if in the fin…
math.DS2008
Local product structure for expansive homeomorphisms
Alfonso Artigue, Joaquin Brum, Rafael Potrie
Let be an expansive homeomorphism with dense topologically hyperbolic periodic points, a compact manifold. Then there is a local product structure in an open a…