In this paper we define a new property of functions between topological spaces which is the dual of Blumberg's original notion, in the sense that together they are equivalent to continuity. Thus we provide a new decomposition of continuity in Theorem 4 (iv) which is of some historical interest.In a recent paper [10] , Tong introduced the notion of an A-set in a topological space and the concept of A-continuity of functions between topological spaces. This enabled him to produce a new decomposition of continuity. In this paper we improve Tong's decomposition result and provide a decomposition of A-continuity.Let S be a subset of a topological space (X, τ ) . We denote the closure of S and the interior of S with respect to τ by clS and intS respectively.

No abstract

ABSTPCT. In this paper we introduce and study three different notions of generalized continuity, namely LC-irresoluteness, LC-continuity and sub-LC-continuity. All three notions are defined by using the concept of a locally closed set.A

Abstract. We will continue the study of p-closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi-H-closed spaces. We will provide new characterizations of p-closed spaces and investigate their relationships with some other classes of topological spaces.

Muthematics Subject Classification. Primary 54C08, 54C05.