The strong soliton resolution conjecture for radial critical wave solutions

Consider the critical wave equation in three spatial dimensions, and let $u$ be a radial energy class solution with energy close to the ground-state energy $E(W,0)$, where $W$ denotes the ground-state soliton. Strong soliton resolution conjecture. Any such solution either blows up in finite time, scatters to zero like a free wave, or scatters towards a rescaling of $W$. This is a strong form of the soliton resolution conjecture, asserting that near the ground-state energy radial dynamics have only these three possible long-time behaviors; the supplied passage does not state that the conjecture has been resolved.