2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74164We offer a counterexample to a theorem in the literature and then repair the theorem as follows: The fundamental group of a locally path connected metric space inherits the discrete topology in a natural way if and only if the underlying space is semilocally simply connected.5 pagesGeneral TopologyAlgebraic Topology55Q05A characterization of spaces with discrete topological fundamental grouptext