Forcing the Π 3 1 -reduction property and a failure of Π 3 1 -uniformization

Annals of Pure and Applied Logic 174 (8):103292 (2023)
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10.1016/j.apal.2023.103292

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Adding a closed unbounded set.J. E. Baumgartner, L. A. Harrington & E. M. Kleinberg - 1976 - Journal of Symbolic Logic 41 (2):481-482.
Cardinal characteristics and projective wellorders.Vera Fischer & Sy David Friedman - 2010 - Annals of Pure and Applied Logic 161 (7):916-922.
Ns Saturated and -Definable.Stefan Hoffelner - 2021 - Journal of Symbolic Logic 86 (1):25-59.
Forcing the [math]-separation property.Stefan Hoffelner - 2022 - Journal of Mathematical Logic 22 (2).
A very absolute Π21 real singleton.René David - 1982 - Annals of Mathematical Logic 23 (2-3):101-120.

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