Palis's approximation conjecture for robustly non-hyperbolic vector fields

Let a vector field be robustly non-hyperbolic if it belongs to the robustly non-hyperbolic class considered in the conjecture, and let $C^r$ denote the relevant differentiability topology. Palis's approximation conjecture. Every robustly non-hyperbolic vector field can be $C^r$ approximated by a vector field with a homoclinic tangency, a heterodimensional cycle, or a singular cycle. This is one of Palis's proposed descriptions of robustly non-hyperbolic dynamics for smooth vector fields; its resolution is not specified in the source.