"Minimal dynamical systems with closed relations I"Gril Rogina, ReneWe introduce dynamical systems with closed relations on compact metric spaces and discuss different types of minimality of such dynamical systems, all of them generalizing minimal dynamical systems with a continuous function on a compact metric space. In particular, we define $1$-minimal, $\infty$-minimal, $1^{\oplus}$-minimal, $2^{\oplus}$-minimal and $3^{\oplus}$-minimal dynamical systems with closed relations and discuss relations among them. This is joint work with Iztok Banic, Goran Erceg and Judy Kennedy. |
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