All meager filters may be null

Details All meager filters may be null All meager filters may be null

1993-01-15

arxiv.org/abs/math/9301206v1

Proc. Amer. Math. Soc. 117 (1993), 515--521

Mathematics

Logic

Scientific paper

We show that it is consistent with ZFC that all filters which have the Baire
property are Lebesgue measurable. We also show that the existence of a
Sierpinski set implies that there exists a nonmeasurable filter which has the
Baire property.

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