Introducing selective d-separability in bitopological spaces

We introduce D-separability and its game-theoretic version, D+-separability in bitopological spaces, and investigate their relationships with d-separability and a weaker form of H-separability which will be called DH-separability. Further we give the connection of these notions with the selective versions of separability-types properties under the bitopological context. We also obtain some results about the d-separability properties of bitopological spaces which are slightly different from those one expects for the classical case