On D-Continuous Functions and its some Properties

Abstract

In this paper, we introduce a new class of continuous functions called D-continuous functions by utilizing D-closed sets. We study their properties in topological space. It turns out, among others, the D-continuous is weaker than perfect continuity and stronger than both gp-continuity and πgp-continuity.

Key words and phrases. D-closed set, D-open set, D-continuous function, D-compact space, D-connected space.

2000 Mathematics Subject Classification. 54A05, 54C05, 54C08