Here some comments and partial answers to problems mentioned by Bonnet, Kubís and Todorčević [3]. 1. Introductory remarks Bonnet, Kubís and Todorčević consider in [3] the class of κ-Corson compact spaces introduced by Kalenda [5] and a related notion of κ-Corson Boolean algebras. Given an infinite cardinal number κ, a compact space K is said to be κ-Corson compact if it can be embedded into the space Σκ([0, 1] ) = {x ∈ [0, 1] : |supp(x)| < κ}, for some Γ; here supp(x) = {γ ∈ Γ : x(γ) 6= 0… Expand

We study the question which Boolean algebras have the property that for every generating set there is an ultrafilter selecting maximal number of its elements. We call it the ultrafilter selection… Expand

We apply the general theory of τ-Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness τ. In particular, we prove that… Expand

We show that Kunen’s example of a compact L-space, constructed under CH, can be modified so that it has a non-monolithic hyperspace. This answers a question of Bell’s. This example is also relevant… Expand