On weak external Q-hyperconvexity

Abstract

We study a concept of weak external hyperconvexity in quasi-metric setting. In this article, we generalize further well-known results about weak external hyperconvexity from metric to quasi-metric point of view. In particular, we show the necessary condition of a subset of q-hyperconvex T0-quasi-metric space to be weakly externally q-hypeconvex.