But in at least four physical dimensions. With the 3D Universe that we inhabit being the surface of this 'sphere'.
In this case from our 3D perspective there can be no end to space in exactly the same way that there can be no centre to the universe.
To use a 2D in a 3D world analogy, the surface of the Earth has no centre nor can you find the end. This is the way the Universe works except in at least 4 dimensions. There may well be a location for the big bang but it certainly isn't located anywhere in our Universe and as far as finding the edge of the Universe, well, it's everywhere, it's just that you would have to travel in a direction which isn't up/down, left/right or back/forth to get there.