3 papers
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
On limit sets and equicontinuity in the hyperspace of continua in dimension one
Domagoj Jelić, Piotr Oprocha
The paper studies the structure of -limit sets of map induced on the hyperspace of all connected compact sets, by dynamical system acting on a topolog…
math.DS2025
On recurrence and entropy in hyperspace of continua in dimension one
Domagoj Jelić, Piotr Oprocha
We show that if is a topological graph, and is continuous map, then the induced map acting on the hyperspace of all connected subsets of by natural f…