On subspaces of pseudoradial spaces

A topological space X is pseudoradial if each of its non closed subsets A h as a sequence (not necessarily with countable length) convergent to outside of A. We prove the following results concerning pseudoradial spaces and th e spaces omega boolean OR {p}, where p is an ultrafilter on omega: (i) CH implies that, for every ultrafilter p on omega, omega boolean OR {p} is a subspace of some regular pseudoradial space. (ii) There is a model in which, for each P-point p, omega boolean OR {p} ca nnot be embedded in a regular pseudoradial space while there is a point q s uch that omega boolean OR {q} is a subspace of a zero-dimensional Hausdorff pseudoradial space.