- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 3
- Generalized closed sets and some separation axioms on weak structure
Generalized closed sets and some separation axioms on weak structure
Authors : A. M. Zahran, A. K. Mousa, A. Ghareeb
Pages : 669-677
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Publication Date : 2015-06-01
Article Type : Research
Abstract :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.Keywords : Weak structures, gw-closed sets, T 1 2 -space, T1-space, normal space, almost normal space, weakly normal spaces