  The bending map of a hyperbolic 3-manifold maps a convex cocompact hyperbolic
metric on a hyperbolic 3-manifold with boundary to its bending measured
geodesic lamination. In the present paper we study the extension of this map to
the space of geometrically finite hyperbolic metrics. We introduce a
relationship on the space of measured geodesic laminations and shows that the
quotient map obtained from the bending map is continuous.
