2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212631Let V be a closed 3-manifold. In this paper we prove that the homotopy classes of plane fields on V that contain tight contact structures are in finite number and that, if V is atoroidal, the isotopy classes of tight contact structures are also in finite number.Symplectic GeometryGeometric Topology57M50, 53C15text