Cichon's maximum

• 成果类型: Article
• 署名作者: Goldstern, Martin; Kellner, Jakob; Shelah, Saharon
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2019.190.1.2
• 发表日期: 2019
• 页码: 113-143
• 关键词: measurability; Additivity; cardinals; reals

摘要

Assuming four strongly compact cardinals, it is consistent that all entries in Cichon's diagram (apart from add(M) and cof(M), whose values are determined by the others) are pairwise different; more specifically, aleph(1) < add(N) < cov(N) < b < non(M) < cov(M) < partial derivative < non(N) < cof(N) < 2(aleph 0).