2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221919We prove that for k an uncountable cardinal, there exist 2^k many non homeomorphic weakly compact convex subsets of weight k in the Hilbert space of density k.General TopologyFunctional Analysis54B35, 52A07The number of weakly compact convex subsets of the Hilbert spacetext