2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146663It has been shown by V. Colin that every tight contact 3-manifold can be written as a connected sum of prime manifolds. Here we prove that the summands in this decomposition are unique up to order and contactomorphism.Symplectic GeometryGeometric Topology53D35; 57M50A unique decomposition theorem for tight contact 3-manifoldstext