On limit sets and equicontinuity in the hyperspace of continua in dimension one

Domagoj Jelić, Piotr Oprocha

The paper studies the structure of $\ddot{I}‰$-limit sets of map $\tilde{f}$ induced on the hyperspace $C(G)$ of all connected compact sets, by dynamical system $(G,f)$ acting on a topolo…