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No Tukey reduction of Lebesgue null to Silver null sets
Journal of Mathematical Logic 18 (2):1850011 (2018)
Abstract
We prove that consistently the Lebesgue null ideal is not Tukey reducible to the Silver null ideal. This contrasts with the situation for the meager ideal which, by a recent result of the author, Spinas [Silver trees and Cohen reals, Israel J. Math. 211 473–480] is Tukey reducible to the Silver ideal.Other Versions
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Citations of this work
Different cofinalities of tree ideals.Saharon Shelah & Otmar Spinas - 2023 - Annals of Pure and Applied Logic 174 (8):103290.
References found in this work
Set Theory. An Introduction to Independence Proofs.James E. Baumgartner & Kenneth Kunen - 1986 - Journal of Symbolic Logic 51 (2):462.
Iterated perfect-set forcing.James E. Baumgartner & Richard Laver - 1979 - Annals of Mathematical Logic 17 (3):271-288.
Sacks forcing, Laver forcing, and Martin's axiom.Haim Judah, Arnold W. Miller & Saharon Shelah - 1992 - Archive for Mathematical Logic 31 (3):145-161.
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