%0 Journal Article %T All meager filters may be null %A Tomek Bartoszy¨˝ski %A Martin Goldstern %A Haim Judah %A Saharon Shelah %J Mathematics %D 1993 %I arXiv %X 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. %U http://arxiv.org/abs/math/9301206v1