On the product of primal spaces

Abstract

Let X be a set and f : X →X be a map. We denote by P(f) the topology dened on X whose closed sets are the subsets A of X with f(A) A⊆A topology on X  is said to be a primal topology, if it is a P(f) for some map f. Our aim here is to characterize when the product of an arbitrary family of topological spaces is a primal space.