Codimension-one bifurcation classification conjecture for one-fast, two-slow critical sets

Let $g\in V_f$ define a critical set $\mathcal{C}[g]$ for a system with one fast variable and two slow variables. Let $\mathcal{D}_{j,k}[g,y]$ denote the listed degeneracy subsets, with $y\in\mathbb{R}^2$ a slow-variable value.

Codimension-one bifurcation conjecture. The codimension-one bifurcations of critical sets $\mathcal{C}[g]$ are characterised by the stated classification: precisely one set $\mathcal{D}_{j,k}[g,y]$ is non-empty, for precisely one $y\in\mathbb{R}^2$, and precisely one of the following occurs: a loop or pair of hyperbolae appears in the fold projections at a fold tangency $\mathcal{D}_{1,k}$; two cusps annihilate at a cusp tangency $\mathcal{D}_{2,k}$; a quadratic fold line folds over to form two cusps in a swallowtail $\mathcal{D}_{3,k}$; the projections of two quadratic fold curves become tangent at $\mathcal{D}_{4,k}$; the projections of a quadratic fold curve and a cubic cusp intersect at $\mathcal{D}_{5,k}$; or the projections of three fold lines intersect at $\mathcal{D}_{6,k}$.

This is a proposed classification of codimension-one bifurcations in the one-fast, two-slow case, analogous to the preceding one-fast, one-slow classification. The source provides no evidence that the classification has been proved or refuted.