2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72934We study CAT(kappa) spaces X admitting affine functions. We show that there exists a canonical isometric embedding X -> Y x H where H is a Hilbert space, such that every affine function f: X -> R factors as f'o p, where p is the projection to H and f' is an affine function on H.Metric Geometry53C20text