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arXiv · 1309.1030

Hyper-expansive Homeomorphisms

Alfonso Artigue
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Abstract

A homeomorphism on a compact metric space is said hyper-expansive if every pair of different compact sets are separated by the homeomorphism in the Hausdorff metric. We characterize such dynamics as those with a finite number of orbits and whose non-wandering set is the union of the repelling and the attracting periodic orbits. We also give a characterization of compact metric spaces admiting hyper-expansive homeomorphisms.

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Alfonso Artigue. 2013-09-04. Hyper-expansive Homeomorphisms. https://arxiv.org/abs/1309.1030

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