Countable compact Hausdorff spaces need not be metrizable in ZF

被引：7

作者：

Keremedis, Kyriakos ^{[1
]}

Tachtsis, Eleftherios

机构：

[1] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece

[2] Univ Aegean, Dept Stat & Actuarial Financial Math, Karlovassi 83200, Samos, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 04期

关键词：

D O I：

10.1090/S0002-9939-06-08572-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the existence of a countable,first countable, zero-dimensional, compact Hausdor. space which is not second countable, hence not metrizable, is consistent with ZF.

引用

页码：1205 / 1211

页数：7

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