[Suicide Junkie]

Try this one:
Imagine spacetime as a sphere. Divide it up like the globe into latitude and longitude lines.

Lines of latitude are various points in time. The North Pole would be the point in time of the big bang... as you go forward in time (south) the universe expands, and then eventually contracts into a big crunch at the south pole.

There is no discontinuity at the earliest point in time... If you follow a line back in time (northernly path) and kept going it would end up going forward in time on the other side of the universe.

For a universe that dosen't recollapse, use a parabolic or hyperbolic surface instead of a sphere or ellipsoid.