g**- closed sets in topological spaces

Abstract

In this paper, we introduce a new class of sets namely, g**-closed sets, which is settled in between the class of closed sets and the class of g-closed sets. Applying these sets, we introduce the new class of spaces, namely T½** spaces, ** T½ spaces, * T½ * spaces, Tc*spaces and αTc* spaces. Further we introduce g** continuous maps and g** irresolute maps.