Hi
Shadowmonk710 and welcome to these Forums!
Under the GR paradigm the universe definitely had a global singularity in the past, the Big Bang, which was a singularity for time as well as space.
However as that singularity is approached (in time reversal) there will come a point where QM effects become dominant.
There is no Quantum Gravity theory to date, although Loop Quantum Gravity is a promising candidate, and so we do not know what actually happens when t \rightarrow 0 as an alternative to the singularity. However it seems that there may be a 'bounce' from an earlier universe, i.e. an overwhelming repulsion that reverses a previous contraction or 'Big Crunch'.
One unknown is whether this universe will contract again and 'crunch', if it does not it seems peculiar that a previous cycle of oscillating universes should end in such a way and just peter out into an infinite 'nothingness'.
However, as the overall density of the present universe seems to be just above the critical density, the prediction of GR is that our universe may well crunch in about 10
11 years time.
Other scenarios are presented by the
Ekpyrotic Universe M-brane theory,
or the
Quasi-steady state cosmology model, which has been criticised, see Ned Wright's page:
Errors in the Steady State and Quasi-SS Models.
or the http://en.wikipedia.org/wiki/Self_creation_cosmology for example.
In the pure GR theory the universe has a once-for-all beginning at the Big Bang but in all these other theories, or in the Jordan frame of SCC, the greater universe is eternal.
I hope this helps...
Garth