On proximal relations in transformation semigroups arising from generalized shifts

Fatemah Ayatollah Zadeh Shirazi, Amir Fallahpour, Mohammad Reza Mardanbeigi +1

For a finite discrete topological space $X$ with at least two elements, a nonempty set $\Gamma$, and a map $\phi :\Gamma \to \Gamma$, ${\sigma }_{\phi }:X^{\Gamma }\to X^{\Gamma }$ with ${\sigma }_{\phi }((x_{\alpha }{)}_{\alpha \in \Gamma })=(x_{\phi (\alpha )}{)}_{\alpha \in \Gamma }$ (for…