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math.DS2022★ 1 cited
Hölder continuous maps on the interval with positive metric mean dimension
Jeovanny M. Acevedo, Sergio Romaña, Raibel Arias
Fix a compact metric space with finite topological dimension. Let be the space of continuous maps on and the space of -Hölder continuous maps on …
math.DS2022★ 4 cited
Density of the level sets of the metric mean dimension for homeomorphisms
Jeovanny de Jesus Muentes Acevedo, Sergio Romaña Ibarra, Raibel Arias Cantillo
Let be an -dimensional compact riemannian manifold, with . In this paper, we prove that for any , the set consisting of homeomorphisms on with lower…