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

共 50 条

[31] Modal compact Hausdorff spaces
Bezhanishvili, Guram
Bezhanishvili, Nick
Harding, John
JOURNAL OF LOGIC AND COMPUTATION, 2015, 25 (01) : 1 - 35
[32] COMPACT CONDENSATIONS OF HAUSDORFF SPACES
Belugin, V. I.
Osipov, A. V.
Pytkeev, E. G.
ACTA MATHEMATICA HUNGARICA, 2021, 164 (01) : 15 - 27
[33] Compact metrizable groups are isometry groups of compact metric spaces
Melleray, Julien
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (04) : 1451 - 1455
[34] Compact condensations of Hausdorff spaces
V. I. Belugin
A. V. Osipov
E. G. Pytkeev
Acta Mathematica Hungarica, 2021, 164 : 15 - 27
[35] Cuf products and cuf sums of (quasi-) metrizable spaces in ZF
Keremedis, Kyriakos
Wajch, Eliza
PERIODICA MATHEMATICA HUNGARICA, 2022, 85 (02) : 448 - 473
[36] Embedding into free topological vector spaces on compact metrizable spaces
Gabriyelyan, Saak S.
Morris, Sidney A.
TOPOLOGY AND ITS APPLICATIONS, 2018, 233 : 33 - 43
[37] SPECIAL BASES FOR COMPACT METRIZABLE-SPACES
VANDOUWEN, EK
FUNDAMENTA MATHEMATICAE, 1981, 111 (03) : 201 - 209
[38] Maximal metrizable remainders of locally compact spaces
Chatyrko, Vitalij A.
Karassev, Alexandre
TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (11) : 1292 - 1297
[39] A SHORT PROOF THAT COMPACT QUASIDEVELOPABLE SPACES ARE METRIZABLE
BENNETT, HR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (04) : 667 - 668
[40] On lightly and countably compact spaces in ZF
Keremedis, Kyriakos
QUAESTIONES MATHEMATICAE, 2019, 42 (05) : 579 - 592

← 1 2 3 4 5 →