2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137425We consider an infinitesimal version of the Bishop-Gromov relative volume comparison condition as generalized notion of Ricci curvature bounded below for Alexandrov spaces. We prove a Laplacian comparison theorem for Alexandrov spaces under the condition. As an application we prove a topological splitting theorem.30 pages, 1 figureDifferential GeometryMetric Geometry53C20; 53C21; 53C23text