2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228953For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simply-connected. While functoriality of the topological fundamental group for arbitrary topological spaces remains an open question, the topological fundamental group is always a homogeneous space.8 pages, 2 figuresGeneral TopologyAlgebraic TopologyDiscreteness and Homogeneity of the Topological Fundamental Grouptext