  We study the collapse of a spherically symmetric dust distribution in
$d$-dimensional AdS spacetime. We investigate the role of dimensionality, and
the presence of a negative cosmological constant, in determining the formation
of trapped surfaces and the end state of gravitational collapse. We obtain the
self-similar solution for the case of zero cosmological constant, and show that
one cannot construct a self-similar solution when a cosmological constant is
included.
