2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79139Extension dimension is characterized in terms of $ω$-maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is also shown that refinable maps preserve some infinite-dimensional properties.12 pagesGeneral Topology55M10, 54C10Extension dimension and refinable mapstext