I think homogeneity means properties being the same at every point in space. Considering density as a property, it should also be the same at every point in space. So, a homogeneous system is uniform. By a uniform system, I mean a system whose density at every point in space is the same.

I think homogeneity means properties being the same at every point in space. Considering density as a property, it should also be the same at every point in space. So, a homogeneous system is uniform. By a uniform system, I mean a system whose density at every point in space is the same. https://en.wikipedia.org/wiki/Homogeneity_(physics)