# Sh:E52

• Shelah, S. Consistency of “the ideal of null restricted to some A is \kappa–complete not \kappa^+–complete, \kappa weakly inaccessible and {\rm cov}({\rm meagre})=\aleph_1. Preprint. arXiv: math/0504201
• Abstract:
In this note we give an answer to the following question of Grinblat (Moti Gitik asked about it):

Is it consistent that for some set X, {\rm cov}({\rm NULL}\restriction X)=\lambda is a weakly inaccessible cardinal (so X not null of course) while {\rm cov}(\rm meagre) is small, say it is \aleph_1.

@unpublished{Sh:E52,
title = {{Consistency of the ideal of null restricted to some $A$ is $\kappa$--complete not $\kappa^+$--complete, $\kappa$ weakly inaccessible and ${\rm cov}({\rm meagre})=\aleph_1$'' }},
}