Number density distribution as a function of redshift of all critical points and of those affected by minor problems. The top panel refers to the Legacy MGS and the bottom panel to LOWZ+CMASS. In each panel the number density distribution as a function of redshift of the critical points that are affected by minor problems (see text) is marked in green. The number density distribution as a function of redshift of all critical points in the sample, regardless of their type, is marked in red. As an example, the 3σ persistence skeletons with one smoothing cycle of the density field have been chosen.