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 (2016) 473–480] is Tukey reducible to the Silver ideal.

中文翻译：

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没有 Tukey 将 Lebesgue 空集简化为 Silver 空集

我们证明了 Lebesgue 空理想始终不是 Tukey 可简化为 Silver 空理想的。这与作者 Spinas [Silver trees and Cohen reals, Israel J. Math. 211 (2016) 473–480] 是 Tukey 可简化为 Silver 理想。