Introducing selective d-separability in bitopological spaces

Authors: SELMA ÖZÇAĞ

Abstract: We introduce $\sf D$-separability and its game-theoretic version, $\sf D^+$-separability in bitopological spaces, and investigate their relationships with $d$-separability and a weaker form of $\sf H$-separability which will be called ${\sf DH}$-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

Keywords: Selection principles, bitopological space, $D$-separability, selective separability

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