In this paper we discuss what kind of constrains combinatorial covering properties of Menger, Scheepers, and Hurewicz impose on remainders of topological groups. For instance, we show that such a remainder is Hurewicz if and only it is -compact. Also, the existence of a Scheepers non--compact remainder of a topological group follows from CH and yields a P-point, and hence is independent of ZFC. We also make an attempt to prove a dichotomy for the Menger property of remainders of topological groups in the style of Arhangel'skii.
|Titolo:||Menger remainders of topological groups|
BELLA, Angelo (Corresponding)
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||1.1 Articolo in rivista|