# Sh:446

• Judah, H. I., & Shelah, S. (1993). Retracted: Baire property and axiom of choice. Israel J. Math., 84(3), 435–450.
• Abstract:
Was withdrawn. Old abstract: We show that

(1) If ZF is consistent then the following theory is consistent “ZF + DC(\omega_{1}) + Every set of reals has Baire property” and

(2) If ZF is consistent then the following theory is consistent “ZFC + ‘every projective set of reals has Baire property’ + ‘any union of \omega_{1} meager sets is meager’ ”.

• Version 1993-08-29_10 (15p) published version (16p)
Bib entry
@article{Sh:446,
author = {Judah, Haim I. and Shelah, Saharon},
title = {{Retracted: Baire property and axiom of choice}},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {84},
number = {3},
year = {1993},
pages = {435--450},
issn = {0021-2172},
mrnumber = {1244679},
mrclass = {03E35 (03E15 03E25)},
doi = {10.1007/BF02760952},
note = {\href{https://arxiv.org/abs/math/9211213}{arXiv: math/9211213}},
arxiv_number = {math/9211213},
referred_from_entry = {See [Sh:446a]}
}