2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65288It is noted that conjectures about the non-existence of universal compacta and compactifications of the given extension dimension for non finitely dominated complexes are not valid for all CW complexes of the form $L \vee S^{2}$, where $L$ is of finite type and has a finite fundamental group, but is not finitely dominated.4 pagesAlgebraic TopologyGeneral Topology55M10; 54F45Notes on two conjectures in Extension Theorytext