Generic I0 at ℵω

被引：0
|
作者：
Dimonte, Vincenzo [1 ]
机构：
[1] Univ Udine, Dipartimento Sci Matemat Informat & Fis, I-33100 Udine, Italy
来源：
MATHEMATICAL LOGIC QUARTERLY | 2018年 / 64卷 / 1-2期
基金：
奥地利科学基金会;
关键词：
REFLECTION; CARDINALS; I-0;
D O I：
10.1002/malq.201700058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce a generic large cardinal akin to I0, together with the consequences of being aleph(omega) such a generic large cardinal. In this case aleph(omega) is Jonsson, and in a choiceless inner model many properties hold that are in contrast with pcf theory in ZFC. (C) 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：118 / 132
页数：15
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