2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132643We consider some general facts concerning convergence P_{n}-Q_{n}\to 0 as n\to \infty, where P_{n} and Q_{n} are probability measures in a complete separable metric space. The main point is that the sequences {P_{n}} and {Q_{n}} are not assumed to be tight. We compare different possible definitions of the above convergence, and establish some general properties.21 pages, added reference, adapted content, corrected typosProbability60F17, 60G15 60F17, 60G15text