Every finite-dimensional analytic space is σ-homogeneous

All spaces are assumed to be separable and metrizable. Building on work of van Engelen, Harrington, Michalewski and Ostrovsky, we obtain the following results: Every finite-dimensional analytic space is σ-homogeneous with analytic witnesses, Every finite-dimensional analytic space is σ-homogeneous with pairwise disjoint Δ21 witnesses.