Mathematica Bohemica, Vol. 145, No. 4, pp. 337-359, 2020


$\mathcal F$-hypercyclic and disjoint $\mathcal F$-hypercyclic properties of binary relations over topological spaces

Marko Kostić

Received April 11, 2018.   Published online August 6, 2019.

Abstract:  We examine various types of $\mathcal F$-hypercyclic ($\mathcal F$-topologically transitive) and disjoint $\mathcal F$-hypercyclic (disjoint $\mathcal F$-topologically transitive) properties of binary relations over topological spaces. We pay special attention to finite structures like simple graphs, digraphs and tournaments, providing a great number of illustrative examples.
Keywords:  ${\mathcal F}$-hypercyclic binary relation; ${\mathcal F}$-topologically transitive binary relation; disjoint ${\mathcal F}$-hypercyclic binary relation; disjoint ${\mathcal F}$-topologically transitive binary relation; digraph
Classification MSC:  47A16, 47B37, 47D06


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Affiliations:   Marko Kostić, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21101 Novi Sad, Serbia, e-mail: markokostic121@yahoo.com


 
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