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

Kostić, Marko

Mathematica Bohemica, Tome 145 (2020) no. 4, pp. 337-359

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.2019.0047-18

Classification : 47A16, 47B37, 47D06
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

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