Countably compact groups and sequential order

被引：4

作者：

Shakhmatov, Dmitri

Shibakov, Alexander

机构：

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 270卷

关键词：

Sequential space; Sequential order; Countably compact topological group; TOPOLOGICAL-GROUPS; METRIZABILITY; PRODUCT;

D O I：

10.1016/j.topol.2019.106943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use lozenge to construct, for every alpha <= omega(1) a sequential countably compact topological group of sequential order alpha. This establishes the independence of the existence of sequential countably compact non Frechet groups from the usual axioms of ZFC and answers several questions of D. Shakhmatov. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：33

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