  We study the non-wandering set of contracting Lorenz maps. We show that if
such a map $f$ doesn't have any attracting periodic orbit, then there is a
unique topological attractor. Precisely, there is a compact set $\Lambda$ such
that $\omega_f(x)=\Lambda$ for a residual set of points $x \in [0,1]$.
Furthermore, we classify the possible kinds of attractors that may occur.
