2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64740We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.9 pagesGeneral TopologyCombinatorics57N20;55M20;54F45text