2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107486We prove that a transfinite extension of asymptotic dimension asind is trivial. We introduce a transfinite extension of asymptotic dimension asdim and give an example of metric proper space which has transfinite infinite dimension.General TopologyGeometric Topology54F45, 54D35On transfinite extension of asymptotic dimensiontext