On certain star versions of a Ufin-type fin-type selection principle

被引：0
|
作者：
Chandra, Debraj [1 ]
Alam, Nur [1 ]
机构：
[1] Univ Gour Banga, Dept Math, Malda 732103, West Bengal, India
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 355卷
关键词：
Ufin(O; c2); U & lowast; fin(O; SS & lowast; COVERING PROPERTIES; MENGER; COMBINATORICS;
D O I：
10.1016/j.topol.2024.109029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The star versions of the selection principle Ufin(O, Omega), namely U & lowast;fin(O, Omega), SS & lowast;fin(O, Omega) and & lowast;Ufin(O, Omega) are studied. We explore ramifications concerning critical cardinalities. Quite a few interesting observations are obtained while dealing with the Isbell-Mr & oacute;wka spaces, Niemytzki plane and Alexandroff duplicates. Properties like monotonically normal and locally countable cellularity (introduced here) play an important role in our investigation. We study games corresponding to Ufin(O, Omega) and its star variants which have not been investigated in prior works. Some open problems are posed. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data
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页数：19
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