2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224950In a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete connected metric space whose separablewise components form a quotient space isometric to the original space. We repeatedly apply this mechanism to construct, as an inverse limit, a complete connected metric space whose each separable subset is zero-dimensional.10 pagesGeneral TopologyMetric Geometry54D05; 54C30text