2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169269We investigate some topological properties of a normal functor $H$ introduced earlier by Radul which is a certain functorial compactification of the Hartman-Mycielski construction $HM$. We show that $H$ is open and find the condition when $HX$ is an absolute retract homeomorphic to the Tychonov cube.General Topology54B30; 57N20text