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 Paper

Abstract :In this paper, we introduce and characterize the concepts of generalized closed insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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