On the structure of Δ 1 4 -sets of reals

Archive for Mathematical Logic 34 (5):301-312 (1995)
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Abstract

Assuming that an inaccessible cardinal exists, we construct a ZFC-model where every Δ 1 4 -set is measurable but there exists a Δ 1 4 -set without the property of Baire. By a result of Shelah, an inaccessible cardinal is necessary for this result

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References found in this work

Internal cohen extensions.D. A. Martin & R. M. Solovay - 1970 - Annals of Mathematical Logic 2 (2):143-178.
Coding the Universe.A. Beller, R. Jensen & P. Welch - 1982 - Cambridge University Press.
Δ12-sets of reals.Jaime I. Ihoda & Saharon Shelah - 1989 - Annals of Pure and Applied Logic 42 (3):207-223.
A very absolute Pi-1-2 real singleton.René David - 1982 - Annals of Mathematical Logic 23 (2-3):101-120.
1\ sets of reals.J. Bagaria & W. H. Woodin - 1997 - Journal of Symbolic Logic 62 (4):1379-1428.

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