WOODIN CARDINALS AND PRESATURATED IDEALS

被引：11

作者：

GOLDRING, N

机构：

[1] Department of Mathematics, University of California, Los Angeles

来源：

ANNALS OF PURE AND APPLIED LOGIC | 1992年 / 55卷 / 03期

关键词：

D O I：

10.1016/0168-0072(92)90039-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Models of set theory are constructed where the non-stationary ideal on P(omega-1)lambda (lambda an uncountable regular cardinal) is presaturated. The initial model has a Woodin cardinal. Using the Levy collapse the Woodin cardinal becomes lambda+ in the final model. These models provide new information about the consistency strength of a presaturated ideal on P(omega-1)lambda for lambda greater than omega-1.

引用

页码：285 / 303

页数：19

共 6 条

[1] SATURATION PROPERTIES OF IDEALS IN GENERIC EXTENSIONS .2. [J].