I0 and combinatorics at λ+

被引：0

作者：

Shi, Xianghui ^{[1
]}

Trang, Nam ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Minist Educ, Key Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2017年 / 56卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Axiom I-0; lambda(+)-Aronszajn tree; Square; Weak square; Stationary reflection; Good scales; Diamond; lambda-Continuum hypothsis; Generic absoluteness; lambda-Goodness;

D O I：

10.1007/s00153-016-0518-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the compatibility of with various combinatorial principles at lambda(+), which include the existence of lambda(+)-Aronszajn trees, square principles at lambda, the existence of good scales at lambda, stationary reflections for subsets of lambda(+), diamond principles at lambda and the singular cardinal hypothesis at lambda. We also discuss whether these principles can hold in L(V lambda+1).

引用

页码：131 / 154

页数：24

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