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arxiv: 1110.5612 · v1 · pith:KBDIROYAnew · submitted 2011-10-25 · 🧮 math.DS

On pairwise sensitive homeomorphisms

classification 🧮 math.DS
keywords homeomorphismspairwisesensitivealternativeapplicationscirclecitecompact
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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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