Thanks for the reply. I'm not doubting Big Bang Cosmology just trying to understand it better. Your answer to the first question is not completely satisfying. If the Big Bang was an explosion from a single point in space rather than expansion of space, then the observed increasing red-shift with distance would be expected, provided that the pieces continued to accelerate throughout the history of the universe. If this were the case, we would appear to be at the center of the explosion even if we were not.
Regarding the second question, I understand the overwhelming evidence supporting the curvature of space, but any curvature must be relative to some other geometry. I was just wondering how general relativity deals with this other geometry.