2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64194It is known that any two triangulations of a compact 3-manifold are related by finite sequences of certain local transformations. We prove here an upper bound for the length of a shortest transformation sequence relating any two triangulations of the 3-dimensional projective space, in terms of the number of tetrahedra.10 pages, 3 figures. Revised version, to appear in Top. ApplGeometric Topology57Q25;57Q15text