If the universe has a nontrivial shape (topology) the sky may show multiple
correlated images of cosmic objects. These correlations can be couched in
terms of distance correlations. We propose a statistical quantity which can
be used to reveal the topological signature of any Robertson-Walker (RW) s
pacetime with nontrivial topology. We also show through computer-aided simu
lations how one can extract the topological signatures of flat, elliptic, a
nd hyperbolic RW universes with nontrivial topology.