Generalized closed sets and some separation axioms on weak structure

Year 2015, Volume: 44 Issue: 3, 669 - 677, 01.06.2015

A. M. Zahran A. K. Mousa A. Ghareeb

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

References

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