Especial case of compactness in bitopological spaces

Abstract EN

By using the notion of δ-open sets, the author define δ-compactness inbitopological spaces, and studied the concepts and theorem related to compactness in view of this notion and obtained some similar results to that in topological spaces for example : "If ( X, T, Ω) is a δ-compact bitopological space ,then every infinite subset of X has at least one δ-limit point", and others which disagree with that in topological spaces, for example, we gave an example for a δ-compact subset of a δ-T 2 bitopological space which is not δ-closed.