Palis's density conjecture for vector fields

Let $M$ be a manifold and let $X$ be a vector field on $M$. Say that $X$ is accumulated by a class of vector fields if it lies in the closure of that class in the relevant topology. A homoclinic bifurcation and a singular cycle are the bifurcations specified in the source. Palis's vector-field density conjecture. Every vector field can be accumulated either by hyperbolic vector fields or by vector fields with a homoclinic bifurcation or with a singular cycle. This is presented as a general version of Palis's conjecture for vector fields; the source does not establish its resolution.