Earlier quoted context omitted.
The early universe was ridiculously homogeneous. We can infer this with reasonable certainty from the extreme homogeneity of the CMB and from the gravitational instability of density fluctuations: as you expect, they attract more mass and accrete to form stars and galaxies. So if you start from the universe as it looks now and run time backwards, you get ridiculous homogeneity at the bang. And that's why you didn't g…
So, are we assuming the universe is infinite? Otherwise there'd be a border to that.
A finite universe would be similar, just adding a dimension.