A generalization of Hagopian's theorem and exponents

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58933We generalize Hagopian's theorem characterizing solenoids to higher dimensions by showing that any homogeneous continuum admitting a fiber bundle projection onto a torus with totally disconnected fibers admits a compatible abelian topological group structure. The higher dimensional exponent group is then introduced.Submitted to "Topology and its Applications"Dynamical SystemsGeometric Topology54F15; 37B45A generalization of Hagopian's theorem and exponentstext