没有土耳其减少勒贝格零到银零集

IF 0.9 1区数学 Q1 LOGIC

Journal of Mathematical Logic Pub Date : 2018-11-20 DOI:10.1142/S0219061318500113

O. Spinas

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引用次数: 2

摘要

我们一致地证明了勒贝格零理想不可以土基约化为西尔弗零理想。这与作者Spinas [Silver trees and Cohen realals, Israel J. Math. 211(2016) 473-480]最近的结果形成鲜明对比，后者可归约为Silver理想。

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No Tukey reduction of Lebesgue null to Silver null sets

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.

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来源期刊

Journal of Mathematical Logic MATHEMATICS-LOGIC

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Logic (JML) provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.