COFINAL TYPES OF ULTRAFILTERS OVER MEASURABLE CARDINALS

被引：0
|
作者：
Benhamou, Tom [1 ]
Dobrinen, Natasha [2 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
JOURNAL OF SYMBOLIC LOGIC | 2024年
基金：
美国国家科学基金会;
关键词：
ultrafilter; p-point; Tukey order; cofinal type; Galvin property; RAMSEY-CLASSIFICATION THEOREMS; TUKEY THEORY; CHAINS; SETS;
D O I：
10.1017/jsl.2024.12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop the theory of cofinal types of ultrafilters over measurable cardinals and establish its connections to Galvin's property. We generalize fundamental results from the countable to the uncountable, but often in surprisingly strengthened forms, and present models with varying structures of the cofinal types of ultrafilters over measurable cardinals.
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页数：35
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