g*s-IRRESOLUTE MAPS IN TOPOLOGICAL SPACES

Abstract

<p>In 2009, A. I. El-Maghrabi and A. A. Nasef introduced a new class of sets between semi-closed and gs<em>-</em>closed sets called g*s-closed and gave some of their properties ([1]). In this paper, we introduce and study the concepts of three new class of maps, namely g*s<em>-</em>continuous maps, g*s<em>-</em>irresolute maps and g*s<em>-</em>closed maps. Moreover, we introduce the concepts of g*s<em>-</em>compactness of topological spaces.</p>