Generalized closed sets and some separation axioms on weak structure
In this paper, we introduce and characterize the concepts of generalized
closed (gw-closed, for short) sets in weak structures which introduced
by Császár [3] and we give some properties of these concepts. The
concept of gw-closed sets (in the sense of Al Omari and Noiri [1]) is a
special case of gw-closed sets presented here. Finally, the concepts of
T 1
2
-, T1-, normal, almost normal and weakly normal spaces are investigated by using the concepts of gw-closed, sgw-closed and mgw-closed
sets in weak structures.