2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60883We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that every toroidal 3-manifold carries infinitely many nonisotopic, nonisomorphic tight contact structures.23 pages, 7 figuresGeometric Topologytext