On traditional Menger and Rothberger variations

被引：1

作者：

Caruvana, Christopher ^{[1
]}

Clontz, Steven ^{[2
]}

Holshouser, Jared ^{[3
]}

机构：

[1] Indiana Univ, Sch Sci, Kokomo, IN 46904 USA

[2] Univ S Alabama, Coll Arts & Sci, Mobile, AL USA

[3] Norwich Univ, Dept Math, Northfield, VT USA

来源：

APPLIED GENERAL TOPOLOGY | 2024年 / 25卷 / 02期

关键词：

Menger; Rothberger; k-covers; omega-covers; OPEN COVERS; GAMES; COMBINATORICS; STRATEGIES; TIGHTNESS; PRODUCTS; PROPERTY; SPACES;

D O I：

10.4995/agt.2024.21437

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a comprehensive report on the relationships between variations of the Menger and Rothberger selection properties with respect to omega-covers and k-covers in the most general topological setting and address the finite productivity of some of these properties. We collect various examples that separate certain properties and we carefully identify which separation axioms simplify aspects of these properties. We finish with a consolidated list of open questions focused on topological examples.

引用

页码：519 / 552

页数：34

共 49 条

[1]

Arhangelskii A. V., 2001, Sci. Math. Jpn., V55, P153

[2] Translation results for some star-selection games [J].