2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100970We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N finite, or having infinity-Ricci curvature bounded below by K, for K a real number. The definitions are in terms of the displacement convexity of certain functions on the associated Wasserstein space P_2(X) of probability measures. We show that these properties are preserved under measured Gromov-Hausdorff limits. We give geometric and analytic consequences.final version, Appendix D of previous version to appear separatelyDifferential Geometrytext