2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62718A characterization of $n$-dimensional spaces via continuous selections avoiding $Z_n$-sets is given, and a selection theorem for strongly countable-dimensional spaces is established. We apply these results to prove a generalized Ostrand's theorem and to obtain a new alternative proof of the Hurewicz formula.22 pagesGeneral Topology54C60; 54C65Dense families of selections and finite-dimensional spacestext