马丁最大值++暗含伍丁公理(*)

IF 5.7 1区数学 Q1 MATHEMATICS

Annals of Mathematics Pub Date : 2021-01-01 DOI:10.4007/ANNALS.2021.193.3.3

D. Asperó, R. Schindler

引用次数: 22

摘要

我们证明了Martin的最大值++隐含了Woodin的Pmax公理(∗)。这回答了20世纪90年代的一个问题，并结合了集合论的两个著名公理，这两个公理都暗示有许多实数。

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Martin's Maximum++ implies Woodin's axiom (*)

We show that Martin’s Maximum++ implies Woodin’s Pmax axiom (∗). This answers a question from the 1990’s and amalgamates two prominent axioms of set theory which were both known to imply that there are א2 many real numbers.

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.