On δ-perfectly continuous functions

Recently the class of δ-perfectly continuous functions between topological spaces has been introduced and studied in some detail. In this paper we consider this class of functions from the point of view of change of topology. In particular, we demonstrate that the concept of δ-perfect continuity coincides with the notion of perfect continuity when the codomain of the function under consideration has been retopologized appropriately. This paper considers some of the consequences of this fact.