Palis's finitude of attractors conjecture for interval maps

Let $C^r([0,1])$ denote the space of $C^r$ interval maps. For a generic $k$-parameter family $(f_t)_{t\in[-1,1]^k} \subset C^r([0,1])$, where $t\in[-1,1]^k$ is equipped with Lebesgue measure, call an attractor regular if it is a periodic orbit and stochastic if it carries an invariant probability measure absolutely continuous with respect to Lebesgue measure on $[0,1]$. Palis's conjecture. For Lebesgue almost every $t\in[-1,1]^k$, the map $f_t$ has only finitely many attractors, each of which is either regular or stochastic. This is a formulation of Palis's finiteness conjecture for interval dynamics, asserting that typical parameter values exhibit only finitely many attractors of these two types. The supplied context does not state whether the conjecture has been resolved.