  Singularities associated with an incomplete space-time (S) are not
well-defined until a boundary is attached to it. Moreover, each boundary gives
rise to a different singularity structure for the resulting total space-time
(TST). Since S is compatible with a variety of boundaries, it therefore does
not represent a unique universe, but instead corresponds to a family of
universes, one for each possible boundary.
  It is shown that in the case of Weyl's space-time for a point-mass with
nonzero cosmological constant, the boundary which he attached is invalid, and
when the correct one is attached, the resulting TST is inextendible. This
implies that the Lake-Roeder black hole cannot be produced by gravitational
collapse.
