# Sh:434

• Bartoszyński, T., Goldstern, M., Judah, H. I., & Shelah, S. (1993). All meager filters may be null. Proc. Amer. Math. Soc., 117(2), 515–521.
• 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.
• published version (8p)
Bib entry
@article{Sh:434,
author = {Bartoszy{\'n}ski, Tomek and Goldstern, Martin and Judah, Haim I. and Shelah, Saharon},
title = {{All meager filters may be null}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {117},
number = {2},
year = {1993},
pages = {515--521},
issn = {0002-9939},
mrnumber = {1111433},
mrclass = {03E35 (28A05 28E15 54A25)},
doi = {10.2307/2159190},
note = {\href{https://arxiv.org/abs/math/9301206}{arXiv: math/9301206}},
arxiv_number = {math/9301206}
}