Theoretical prediction for the bias function of 1D extrema, of Euler points and that of the local density, Eq. (32), and its corresponding large scale limit (dashed line) as given by Eq. (33). As expected, the maxima and Euler points have the same bias at a high density, this is also the bias of the density field itself: high density critical points are likely to be maxima of the fields and their correlation properties is to a large extent determine by density bias.