English

Coideals as remainders of groups distinguishing between combinatorial covering properties

Logic 2023-12-12 v2 General Topology

Abstract

In this paper we construct consistent examples of subgroups of 2ω2^\omega with Menger remainders which fail to have other stronger combinatorial covering properties. This answers several open questions asked by Bella, Tokgoz and Zdomskyy (Arch. Math. Logic 55 (2016), 767-784).

Keywords

Cite

@article{arxiv.2205.00019,
  title  = {Coideals as remainders of groups distinguishing between combinatorial covering properties},
  author = {Giovanni Molica Bisci and Dušan Repovš and Lyubomyr Zdomskyy},
  journal= {arXiv preprint arXiv:2205.00019},
  year   = {2023}
}