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Israel Journal of Mathematics
Article
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arXiv.org e-Print Archive
Preprint . 1992
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Israel Journal of Mathematics
Article . 1993 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 1992
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https://dx.doi.org/10.1007/bf0...
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Baire property and axiom of choice

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 1993Embargo end date: 01 Jan 1992 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 84, pages 435-450 (issn: 0021-2172, eissn: 1565-8511, Copyright policy )
Authors: Judah, Haim; Shelah, Saharon;

doi: 10.1007/bf02760952 , 10.48550/arxiv.math/9211213

arXiv: math/9211213

Baire property and axiom of choice

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' ".

Proof has an irreparable gap

Related Organizations
Keywords

FOS: Mathematics, Mathematics - Logic, Logic (math.LO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green
bronze