Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74851In this note we answer the following question of Grinblat: Is it consistent that for some set X, cov(NULL restriction X)=lambda is a weakly inaccessible cardinal (so X not null of course) while cov(meagre) is small, say it is aleph_1.LogicConsistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"text