All meager filters may be null

by Bartoszynski and Goldstern and Judah and Shelah. [BGJSh:434]
Proc American Math Soc, 1993
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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