Conceptions on topological transitivity in products and symmetric products

Authors : Anahı Rojas, Franco Barragan, Sergıo Macías

Pages : 491-523

Doi:10.3906/mat-1912-67

View : 11 | Download : 7

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Having a finite number of topological spaces Xi and functions fi : Xi → Xi , and considering one of the following classes of functions: exact, transitive, strongly transitive, totally transitive, orbit-transitive, strictly orbittransitive, ω-transitive, mixing, weakly mixing, mild mixing, chaotic, exactly Devaney chaotic, minimal, backward minimal, totally minimal, T T++ , scattering, Touhey or an F -system, in this paper, we study dynamical behaviors of the systems Xi, fi , ∏ Xi, ∏ fi , Fn ∏ Xi , Fn ∏ fi , and Fn Xi , Fn fi .
Keywords : Topological transitivity, symmetric products, dynamical systems