Forcing with adequate sets of models as side conditions

被引：3

作者：

Krueger, John ^{[1
]}

机构：

[1] Univ North Texas, Dept Math, 1155 Union Circle 311430, Denton, TX 76203 USA

来源：

MATHEMATICAL LOGIC QUARTERLY | 2017年 / 63卷 / 1-2期

关键词：

FINITE CONDITIONS; CLUB; SEQUENCES;

D O I：

10.1002/malq.201400022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a general framework for forcing on (2) with finite conditions using countable models as side conditions. This framework is based on a method of comparing countable models as being membership related up to a large initial segment. We give several examples of this type of forcing, including adding a function on (2), adding a nonreflecting stationary subset of 2 cof (), and adding an (1)-Kurepa tree.

引用

页码：124 / 149

页数：26

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