Pre-regular p-open Sets and Decompositions of Complete Continuity

Abstract

In this paper, we investigate and characterize pre-regular p-open sets which are defined by Jafari [9] , using the pre-interior and pre-closure operators. By using pre-regular p-open sets, we obtain decompositions of regular open sets and decompositions of complete continuity. It is shown that b^⋕-closed sets defined in [17] are equivalent to regular open sets. This fact improves many results obtained in [17].

Key words and phrases. topological space, preopen, regular open, pre-regular p-open, decompositions of regular openness, complete continuity.

2000 Mathematics Subject Classification. 40H05, 46A45