Coideals as remainders of groups distinguishing between combinatorial covering properties

Molica Bisci, Giovanni (author), Repovš, Dušan (author), Zdomskyy, Lyubomyr (author)

In this paper we construct consistent examples of subgroups of $2^\omega$ with Menger remainders which fail to have other stronger combinatorial covering properties. This answers several open questions asked by Bella, Tokgoz and Zdomskyy in 2016.

• Language: English
• Keywords: remainder, topological groups, Menger space, Scheepers space, filter, forcing
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Publication date: 01.12.2023
• Year: 2023
• Number of pages: 15 str.
• Numbering: Vol. 340, art. no. 108725
• PID: 20.500.12556/RUL-182458
• UDC: 515.1
• ISSN on article: 0166-8641
• DOI: 10.1016/j.topol.2023.108725
• COBISS.SI-ID: 165711619
• Publication date in RUL: 12.05.2026

Record is a part of a journal

• Title: Topology and its applications
• Shortened title: Topol. appl.
• Publisher: Elsevier
• ISSN: 0166-8641
• COBISS.SI-ID: 26538752

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• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.