COUNTABLY COMPACT EXTENSIONS AND CARDINAL CHARACTERISTICS OF THE CONTINUUM

被引：0

作者：

Bardyla, Serhii ^{[1
]}

Nyikos, Peter ^{[2
]}

Zdomskyy, Lyubomyr ^{[3
]}

机构：

[1] Univ Vienna, Fac Math, Vienna, Austria

[2] Univ South Carolina, Dept Math, Columbia, SC USA

[3] Vienna Univ Technol TU WIEN, Inst Discrete Math & Geometry, Vienna, Austria

来源：

JOURNAL OF SYMBOLIC LOGIC | 2025年

关键词：

Nyikos space; countably compact; pseudocompact; embedding; cardinal characteristics of the continuum; SPACES;

D O I：

10.1017/jsl.2025.13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that the existence of certain first-countable compact-like extensions is equivalent to the equality between corresponding cardinal characteristics of the continuum. For instance, b= s= c if and only if every regular first-countable space of weight < c can be densely embedded into a regular first-countable countably compact space.

引用

页数：27

共 35 条

[1] On Jakovlev spaces [J].