3 papers
math.DS2026
Special -limit sets in the hyperspace of continua: closedness and entropy for interval maps
Domagoj JeliÄ, Piotr Oprocha
This paper investigates the backward dynamics of hyperspace systems induced by continuous interval maps. Focusing on the hyperspace of continua, we provide a structural characteriz…
math.DS2026
On limit sets and equicontinuity in the hyperspace of continua in dimension one
Domagoj JeliÄ, 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 topolo…
math.DS2025
On recurrence and entropy in hyperspace of continua in dimension one
Domagoj JeliÄ, 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…