2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78282In this paper we study topological rigidity of affine actions on compact connected metrizable abelian groups. We also classify one-parameter flows of translations upto orbit equivalence and discrete group actions by translations upto topological conjugacy.11 pagesDynamical SystemsOrbit equivalence and topological conjugacy of affine actions on compact abelian groupstext