Consistency of "the ideal of null restricted to some A is kappa-complete   not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
  In 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. 
Saharon Shelah