Actually, KJM, space does not have a beginning, nor an end.
You are mixing space with universe. The universe is the one that supposedly originated with the big bang, but prior to that, what was there? Space; big empty space.
Well, actually, we don't really know if it was all empty... because we don't know if ours is the only universe that exists. There might be other universes, but we just can't speculate about it, because it serves no apparent purpose for us to know.