On kappa-Corson compacta

A compact space is `Corson compact' if it can be embedded into some product of real lines in such a way that the support of every element is countable; kappa-Corson compactness is defined in the same manner, replacing `countable' by `of size < kappa'. That class of kappa-Corson compacta is a subject of  a recent preprint of Bonnet, Kubiś and Todorcevic (https://arxiv.org/abs/2104.09633). The aim of my talk is to present a partial solution to a problem posed there; see also https://arxiv.org/abs/2107.02513