More on D α -Closed Sets in Topological Spaces

.e aim of this paper is to present and study topological properties ofDα-derived,Dα-border,Dα-frontier, andDα-exterior of a set based on the concept of Dα-open sets. .en, we introduce new separation axioms (i.e., Dα − R0 and Dα − R1) by using the notions of Dα-open set and Dα-closure. .e space of Dα − R0 (resp., Dα − R1) is strictly between the spaces of α − R0 (resp., α − R1) and g − R0 (resp., g − R1). Further, we present the notions of Dα-kernel and Dα-convergent to a point and discuss the characterizations of interesting properties between Dα-closure and Dα-kernel. Finally, several properties of weakly Dα − R0 space are investigated.