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Turkish Journal of Mathematics

DOI

10.3906/mat-1912-67

Abstract

Having a finite number of topological spaces $X_i$ and functions $f_i : X_i \to X_i$, and considering one of the following classes of functions: exact, transitive, strongly transitive, totally transitive, orbit-transitive, strictly orbittransitive, $\omega$-transitive, mixing, weakly mixing, mild mixing, chaotic, exactly Devaney chaotic, minimal, backward minimal, totally minimal, $TT_{++}$, scattering, Touhey or an $F$ -system, in this paper, we study dynamical behaviors of the systems $(X_i,f_i)$, $(\prod X_i,\prod f_i)$, $(\mathcal{F}_n(\prod X_i),\mathcal{F}_n(\prod f_i))$, and $(\mathcal{F}_n(X_i),\mathcal{F}_n(f_i))$.

First Page

491

Last Page

523

Included in

Mathematics Commons

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