2013/09/04 by Alfonso Artigue, Artigue, Alfonso · 1 citation
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms
paper · pdf · doi:10.48550/arxiv.1309.1030
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.