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arXiv · 1311.5505

N-expansive homeomorphisms on surfaces

Alfonso Artigue·Maria José Pacifico·José Vieitez
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Abstract

We exploit the techniques developed in [Le] to study N-expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M without wandering points then f is expansive. This condition on the wandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on the bitorus with wandering points that is not expansive.

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Alfonso Artigue, Maria José Pacifico, José Vieitez. 2013-11-21. N-expansive homeomorphisms on surfaces. https://arxiv.org/abs/1311.5505

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