Abstract

In this paper, a new class of sets called pairwise minimal open sets and pairwise maximal open sets in bitopological spaces are introduced and studied. A proper nonempty \(\tau_{i}\)-open subset \(M\) of a bitopological space \(X\) is said to be a pairwise minimal open (resp. pairwise maximal open) set if any \(\tau_{j}\)-open set which is contained in \(M\) (resp. contains \(M\)) is either \(\phi\) ( resp. either \(X\) ) or \(M\) itself.

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