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arXiv · 1110.5612

On pairwise sensitive homeomorphisms

C. A. Morales
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Abstract

We obtain properties of the pairwise sensitive homeomorphisms defined in \cite{cj}. For instance, we prove that their sets of points with converging semi-orbits have measure zero, that such homeomorphisms do not exist in a compact interval and, in the circle, they are the Denjoy ones. Applications including alternative proofs of well-known facts in expansive systems are given.

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C. A. Morales. 2011-10-25. On pairwise sensitive homeomorphisms. https://arxiv.org/abs/1110.5612

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