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

页码：118 / 132

页数：15

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