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Mathias absoluteness and the Ramsey property
Journal of Symbolic Logic 61 (1):177-194 (1996)
Abstract
In this article we give a forcing characterization for the Ramsey property of Σ 1 2 -sets of reals. This research was motivated by the well-known forcing characterizations for Lebesgue measurability and the Baire property of Σ 1 2 -sets of reals. Further we will show the relationship between higher degrees of forcing absoluteness and the Ramsey property of projective sets of realsOther Versions
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Citations of this work
Forcing absoluteness and regularity properties.Daisuke Ikegami - 2010 - Annals of Pure and Applied Logic 161 (7):879-894.
Projective absoluteness for Sacks forcing.Daisuke Ikegami - 2009 - Archive for Mathematical Logic 48 (7):679-690.
References found in this work
Δ12-sets of reals.Jaime I. Ihoda & Saharon Shelah - 1989 - Annals of Pure and Applied Logic 42 (3):207-223.
Kunen Kenneth. Set theory. An introduction to independence proofs. Studies in logic and the foundations of mathematics, vol. 102. North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1980, xvi + 313 pp. [REVIEW]James E. Baumgartner - 1986 - Journal of Symbolic Logic 51 (2):462-464.
Exact equiconsistency results for Δ 3 1 -sets of reals.Haim Judah - 1992 - Archive for Mathematical Logic 32 (2):101-112.
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