Coideals as remainders of groups distinguishing between combinatorial covering properties

Abstract

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 (Arch. Math. Logic 55 (2016), 767-784).

References in corpus (2)

• A semifilter approach to selection principles
• Countable dense homogeneous filters and the Menger covering property