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2 Fasciculi Mathematici

2 2013

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Weak and strong forms of γ-irresoluteness

Nasef A. A., El-Maghrabi A I

Fasciculi Mathematici

2013

Nr 50

91--100

In this paper we consider new weak and strong forms of y-irresoluteness and y-closure via the concept of gy-closed sets which we call ap-y-irresolute, ap-y-closed and contra-y-irresolute maps. Moreover, we use ap-y-irresolute and ap-y-closed maps to obtain a characterization of y — T1/2 -spaces.

On almost co-F-closed topologies and their applications

El-Atik A. A., Nasef A. A.

Fasciculi Mathematici

2013

Nr 50

51--58

In this paper, we investigate more properties of the notion of co-F-closed topologies which was introduced by Abo Khadra and Nasef [1]. Several results which have appeared in [5] are expanded and improved. Also, we introduce a new concept of almost co-F-closed topologies of a given topological space and give a new class of functions, namely, almost F-continuous functions which properly contains the class of almost F-continuous functions (Chae et al., [5]). Finally, we show that the concept of almost F-continuity can be considered naturally from the point of view of change of topology.