B-ideal status of hom(conv)

Determine whether the ideal hom(conv), generated by homogeneous sets of the convergence coloring conv:[N]^3→2, is a B-ideal.

Background

The paper constructs the convergence coloring conv and shows that hom(conv) and B(phom_0(conv)) have distinctive tallness and Katětov-order properties. It does not determine whether hom(conv) itself is B-representable.