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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 cw-hyperbolic surface homeomorphisms. Specifically, we prove that a surface homeomorphism is cw-hyperbolic if, and onl…
math.DS2023★ 5 cited
Continuum-wise hyperbolic homeomorphisms on surfaces
Rodrigo Arruda, Bernardo Carvalho, Alberto Sarmiento
This paper discusses the dynamics of continuum-wise hyperbolic surface homeomorphisms. We prove that -hyperbolic surface homeomorphisms containing only a finite set of spines…