The axiom of choice holds iff maximal closed filters exist

被引：2

作者：

Herrlich, H ^{[1
]}

机构：

[1] Univ Bremen, Dept Math, FB 3, D-28334 Bremen, Germany

来源：

关键词：

axiom of choice; Boolean prime ideal theorem; closed filter; maximal closed filter;

D O I：

10.1002/malq.200310033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that in ZF set theory the axiom of choice holds iff every non empty topological space has a maximal closed filter.

引用

页码：323 / 324

页数：2