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All meager filters may be null

Tomek Bartoszyński·Martin Goldstern·Haim Judah·Saharon Shelah
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Abstract

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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Tomek Bartoszyński, Martin Goldstern, Haim Judah, Saharon Shelah. 1993-01-15. All meager filters may be null. https://arxiv.org/abs/math/9301206

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