All meager filters may be null

Haim Judah; Martin Goldstern; Saharon Shelah; Tomek Bartoszy\'nski

arxiv: math/9301206 · v1 · submitted 1993-01-15 · 🧮 math.LO

All meager filters may be null

Tomek Bartoszy\'nski , Martin Goldstern , Haim Judah , Saharon Shelah This is my paper

classification 🧮 math.LO

keywords bairefilterspropertyconsistentexistenceexistsfilterimplies

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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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All meager filters may be null

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