On the axiom of union

被引：0
|
作者：
Greg Oman
机构：
[1] Ohio University,Department of Mathematics
来源：
Archive for Mathematical Logic | 2010年 / 49卷
关键词：
Axiom of union; Transitive closure; Inaccessible cardinal; Primary: 03E30; Secondary: 03E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the union axiom of ZFC. After a brief introduction, we sketch a proof of the folklore result that union is independent of the other axioms of ZFC. In the third section, we prove some results in the theory T:= ZFC minus union. Finally, we show that the consistency of T plus the existence of an inaccessible cardinal proves the consistency of ZFC.
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页码：283 / 289
页数：6
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