2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106223We investigate some topological properties of a normal functor $H$ introduced earlier by Radul which is some functorial compactification of the Hartman--Mycielski construction HM. We prove that the pair ($HX$, HM$Y$) is homeomorphic to the pair $(Q,σ)$ for each nondegenerated metrizable compactum $X$ and each dense $σ$-compact subset $Y$.6 pagesGeneral TopologyGeometric Topology54B30; 57N20text