# 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.

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Bib entry

@unpublished{Sh:E52, author = {Shelah, Saharon}, title = {{Consistency of ``the ideal of null restricted to some $A$ is $\kappa$--complete not $\kappa^+$--complete, $\kappa$ weakly inaccessible and ${\rm cov}({\rm meagre})=\aleph_1$'' }}, note = {\href{https://arxiv.org/abs/math/0504201}{arXiv: math/0504201}}, arxiv_number = {math/0504201} }