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arXiv.org e-Print Archive
Preprint . 2014
Data sources: arXiv.org e-Print Archive
Memoirs of the American Mathematical Society
Article . 2020 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2014
License: arXiv Non-Exclusive Distribution
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Projective Measure Without Projective Baire

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2020Embargo end date: 01 Jan 2014 English Publisher:American Mathematical Society (AMS)Journal:Memoirs of the American Mathematical Society, volume 267, pages 0-0 (issn: 0065-9266, eissn: 1947-6221, Copyright policy )Funded by:FWF | Regularity Properties in ..., DFG | Groups, Geometry, and Act..., FWF | Forcing, creatures, oracl... +1 projects
Authors: Friedman, Sy; Schrittesser, David;

doi: 10.1090/memo/1298 , 10.48550/arxiv.1401.6808

arXiv: 1401.6808

Projective Measure Without Projective Baire

Abstract

We prove that it is consistent (relative to a Mahlo cardinal) that all projective sets of reals are Lebesgue measurable, but there is a $Δ^1_3$ set without the Baire property. The complexity of the set which provides a counterexample to the Baire property is optimal.

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Keywords

FOS: Mathematics, Mathematics - Logic, Logic (math.LO), 03E15, 03E35

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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!
2
Average
Average
Average
Green
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