Pairwise weakly Hausdorff spaces

M. E. El-Shafei

Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt


In this paper, we introduce and investigate the notion of weakly Hausdorffness in bitopological spaces by using the convergent of nets. Several characterizations of this notion are given. Some relationships between these spaces and other spaces satisfying some separation axioms are studied.

AMSclassification. 54E55, 54D10, 54D30.

Keywords. Pairwise weakly Hausdorffness, pairwise compactness, pairwise separation axioms, nets.