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  1. No Tukey reduction of Lebesgue null to Silver null sets.Otmar Spinas - 2018 - Journal of Mathematical Logic 18 (2):1850011.
    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.
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  • Different cofinalities of tree ideals.Saharon Shelah & Otmar Spinas - 2023 - Annals of Pure and Applied Logic 174 (8):103290.
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  • Uniformization Problems and the Cofinality of the Infinite Symmetric Group.James D. Sharp & Simon Thomas - 1994 - Notre Dame Journal of Formal Logic 35 (3):328-345.
    Assuming Martin's Axiom, we compute the value of the cofinality of the symmetric group on the natural numbers. We also show that Martin's Axiom does not decide the value of the covering number of a related Mycielski ideal.
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