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The objective of this paper is to study pairwise open cover and pairwise compactness in hyperspace of a bitopological space, named as bihypertopological space. Various results, analogous to results of compactness in traditional topology, are obtained for bihypertopological space. We also investigate relation between pairwise compactness in bihypertopological space and pairwise compactness in the original bitopological space.

Pairwise compactness in bihypertopological space