For a finite discrete topological space X with at least two elements,a nonempty setГ,and a map p■is a generalized shift.In this text for■is bijective}we study proximal relations of transformation semigroups(S,X^(Г...For a finite discrete topological space X with at least two elements,a nonempty setГ,and a map p■is a generalized shift.In this text for■is bijective}we study proximal relations of transformation semigroups(S,X^(Г))and(H,XX^(Г)).Regarding proximal relation we prove:■is infinite■.Moreover,for infinite T,both transformation semigroups(S,X^(Г)and(H,XX^(Г))are regionally proximal,i.e.,■is finite.展开更多
文摘For a finite discrete topological space X with at least two elements,a nonempty setГ,and a map p■is a generalized shift.In this text for■is bijective}we study proximal relations of transformation semigroups(S,X^(Г))and(H,XX^(Г)).Regarding proximal relation we prove:■is infinite■.Moreover,for infinite T,both transformation semigroups(S,X^(Г)and(H,XX^(Г))are regionally proximal,i.e.,■is finite.
