  The aim of this note is study the topology generated by Lipschitz slices in
the unit sphere of a Banach space. We prove that the above topology agrees with
the weak topology in the unit sphere and, as a consequence, we obtain Lipschitz
characterizations of classical linear topics in Banach spaces, as Radon-Nikodym
property, convex point of continuity property and strong regularity, which
shows that the above classical linear properties only depend on the natural
uniformity in the Banach space given by the metric and the linear structure.
