An arbitrary Hausdorff compactification of a Tychonoff space X obtained from a -base by a modified Wallman method

Let (Z,h) be an arbitrary Hausdorff compactification of a Tychonoff space X, and let BD be the collection of all finite unions of all nonempty finite intersections of elements of C={f−1([a,b])|a,b∈R, a