2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169856We investigate the geometry of median metric spaces. The group-theoretic applications are towards Kazhdan's property (T) and Haagerup's property.21 pages. Revision of work submitted as a Master's thesis at McGill University in 2004. Comments are welcomeGroup TheoryMetric Geometrytext