Supseparability of the space of minimal function pairs

In this article we investigate supseparability of the q  -hyperconvex hull QXQX of a T0T0-quasi-metric space X  . Recall that a quasi-metric space (X,d)(X,d) is said to be supseparable if the space (X,d∨d−1)(X,d∨d−1) is separable. We describe the q  -hyperconvex hull QXQX of a T0T0-quasi-metric space X as a space of minimal function pairs on X  . Finally, sufficient conditions for supseparability of QXQX are given.