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math.DS2018
Foliations and Conjugacy II: The Mendes Conjecture for Time-One Maps of Flows
Jorge Groisman, and Zbigniew Nitecki
A diffeomorphism in the plane is Anosov if it has a hyperbolic splitting at every point of the plane. The two known topological conjugacy classes of…
math.DS2018
Topologically Anosov plane homeomorphisms
Gonzalo Cousillas, Jorge Groisman, Juliana Xavier
This paper deals with classifying the dynamics of {\it Topologically Anosov} plane homeomorphisms. We prove that a Topologically Anosov homeomorphism $f:\mathbb{R}^2 \to \mathbb{R}…