58 citations · 210 across the 15 of their papers we have counts for
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math.DS2020★ 2 cited
Sensitivity, local stable/unstable sets and shadowing
Mayara Antunes, Bernardo Carvalho, Margoth Tacuri
In this paper we study local stable/unstable sets of sensitive homeomorphisms with the shadowing property defined on compact metric spaces. We prove that local stable/unstable sets…
math.DS2020★ 10 cited
Continuum-wise hyperbolicity
Alfonso Artigue, Bernardo Carvalho, Welington Cordeiro +1
We introduce continuum-wise hyperbolicity, a generalization of hyperbolicity with respect to the continuum theory. We discuss similarities and differences between topological hyper…