2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139696We prove that an equivalent condition for a uniform space to be coverable is that the images of the natural projections in the fundamental inverse system are uniformly open in a certain sense. As corollaries we (1) obtain a concrete way to find covering entourage, (2) correct an error in [3] and (3) show that coverable is equivalent to chain connected and uniformly joinable in the sense of arXiv:0706.3937.General TopologyAlgebraic TopologyMetric Geometry55Q52 (Primary); 54E15, 55M10 (Secondary)text