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.
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页码：121 / 137
页数：17
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