2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35000We discuss some global properties of cosmological spacetimes of de Sitter type, based on results with Lars Andersson obtained in hep-th/0202161. We relate the geometry and topology of conformal infinity to the occurrence of singularities in such spacetimes, thereby extending to a much broader context certain properties of some well-known cosmological models.14 pages, 4 figures; based on a talk given at the Beemfest in May, 2003; to appear in Contemporary MathematicsGeneral Relativity and Quantum CosmologyCosmological Spacetimes with $Λ> 0$text