A hierarchy of Ramsey-like cardinals

被引：7
|
作者：
Holy, Peter [1 ]
Schlicht, Philipp [1 ]
机构：
[1] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany
来源：
FUNDAMENTA MATHEMATICAE | 2018年 / 242卷 / 01期
关键词：
large cardinals; Ramsey cardinals; filters; infinite games;
D O I：
10.4064/fm396-9-2017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a hierarchy of large cardinals between weakly compact and measurable cardinals, that is closely related to the Ramsey-like cardinals introduced by Victoria Gitman (2011), and is based on certain infinite filter games, but also has a range of equivalent characterizations in terms of elementary embeddings. The aim of this paper is to locate the Ramsey-like cardinals studied by Gitman, and other well-known large cardinal notions, in this hierarchy.
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页码：49 / 74
页数：26
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