The bifurcation-complement conjecture for braid monodromy groups

Let $f$ be a singular function, let its bifurcation diagram be the relevant discriminant in the parameter space of a versal unfolding, and let the braid monodromy group be the image of the corresponding braid monodromy homomorphism. Bifurcation-complement conjecture. The braid monodromy group is the fundamental group of the complement of the bifurcation diagram. This is the source's final speculation about the domain of the braid monodromy homomorphism and how much of the bifurcation-complement fundamental group it captures; no resolution is stated.