The Lorenz renormalization conjecture on rigidity classes

Let $\mathcal{T}_w$ be the set of infinitely $w$-renormalizable Lorenz maps, and let $\mathcal{L}$ denote the space of Lorenz maps. The Lorenz rigidity conjecture. The set $\mathcal{T}_w$ coincides with the topological conjugacy class of any $f\in\mathcal{T}_w$. Furthermore, $\mathcal{T}_w\subset\mathcal{L}$ is a manifold of codimension two. This assertion concerns the structure of infinitely renormalizable Lorenz maps; the supplied text gives no resolution status.