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Department of Mathematics, Yarmouk University, Irbid, Jordan

ABSTRACT

In this paper we define strongly zero-dimensional bitopological spaces and study their relations with other bitopological spaces. We discuss two types of pairwise zero sets, namely p-lower zero set and p-upper zero set, and study their properties. We classify all p-strongly zero-dimensional spaces and then we prove that a p-Lindelِf p-zero dimensional space must be p-strongly zero dimensional.