Continuous tree-like scales

被引：3

作者：

Cummings, James ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

关键词：

PCF theory; Large cardinals; Forcing; CANONICAL STRUCTURE; SET-THEORY; UNIVERSE; MAXIMUM; SQUARE;

D O I：

10.2478/s11533-010-0001-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Answering a question raised by Luis Pereira, we show that a continuous tree-like scale can exist above a supercompact cardinal. We also show that the existence of a continuous tree-like scale at a"mu (omega) is consistent with Martin's Maximum.

引用

页码：314 / 318

页数：5

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