Generalized closed sets and some separation axioms on weak structure

作者：Zahran A M^*; Mousa A K; Ghareeb A

来源：Hacettepe Journal of Mathematics and Statistics, 2015, 44(3): 669-677.

DOI：10.15672/hjms.2015449748

• Weak structures
• gw-closed sets
• T-1/2-space
• T-1-space
• normal space
• almost normal space
• weakly normal spaces

In this paper, we introduce and characterize the concepts of generalized closed (gw-closed, for short) sets in weak structures which introduced by Csaszar [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-, T-1-, 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.

• 出版日期2015-6