  The space-like hypersurface of the Universe at the present cosmological time
is a three-dimensional manifold. A non-trivial global topology of this
space-like hypersurface would imply that the apparently observable universe
(the sphere of particle horizon radius) could contain several images of the
single, physical Universe. Recent three-dimensional techniques for constraining
and/or detecting this topology are reviewed. Initial applications of these
techniques using X-ray bright clusters of galaxies and quasars imply (weak)
candidates for a non-trivial topology.
