Totally proper forcing and the Moore-Mrowka problem

被引：7

作者：

Eisworth, T ^{[1
]}

机构：

[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

来源：

FUNDAMENTA MATHEMATICAE | 2003年 / 177卷 / 02期

关键词：

compact; sequential; countable tightness; totally proper forcing; Continuum Hypothesis;

D O I：

10.4064/fm177-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a totally proper notion of forcing that can be used to shoot uncountable free sequences through certain countably compact non-compact spaces. This is almost (but not quite!) enough to produce a model of ZFC + CH in which countably tight compact spaces are sequential-we still do not know if the notion of forcing described in the paper can be iterated without adding reals.

引用

页码：121 / 137

页数：17

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