F-Closedness in Bitopological Spaces

Subject Areas : History and biography

A. A.  Nasef ¹ (Department of Physics and Engineering Mathematics, Faculty of Engineering, KafrEl-Sheikh University, Kafr El-Sheikh, Egypt)
A.  Azzam ² (Department of Mathematics, Faculty of Science, Assuit University, New Valley, Egypt)

Received: 2016-02-20 Accepted : 2016-05-10 Published : 2016-06-01

Keywords: pairwise S-closed, pairwise quasi H-closed, pairwise almost co-compact, pairwise strongly compact, F-closed, pairwise F-closed,

Abstract :

The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces with other corresponding types are established. Moreover, several of its basic and important properties are discussed.

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