2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113945We present a result on topologically equivalent integral metrics (Rachev, 1991, Muller, 1997) that metrize weak convergence of laws with common marginals. This result is relevant for applications, as shown in a few simple examples.12 pagesProbability60B10, 60E05text