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

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

2005-04-10

arxiv.org/abs/math/0504201v1

Mathematics

Logic

Scientific paper

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.

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