2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139387We construct, assuming Jensen's principle diamond, a one-dimensional locally connected hereditarily separable continuum without convergent sequences. The construction is an inverse limit in omega_1 steps, and is patterned after the original Fedorchuk construction of a compact S-space. To make it one-dimensional, each space in the inverse limit is a copy of the Menger sponge.13 pagesGeneral Topology54D05; 54D65text