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math.DS2026
Continuum-wise hyperbolicity is exactly the pseudo-Anosov dynamics with spine singularities
Rodrigo Arruda, Bernardo Carvalho, Piotr Oprocha +1
We establish a complete structural classification for continuum-wise hyperbolic surface homeomorphisms. Specifically, we prove that a surface homeomorphism is cw-hyperbolic if,…
math.DS2026
-generic continuum-wise expansive surface diffeomorphisms
Alfonso Artigue, Bernardo Carvalho, José Cueto
We exhibit a local residual set of surface diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface dif…