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math.GN2016
On the definability of Menger spaces which are not /sigma-compact
Franklin D. Tall, Secil Tokgoz
Hurewicz proved completely metrizable Menger spaces are /sigma-compact. We extend this to Cech-complete Menger spaces and consistently to projective Menger metrizable spaces. On th…
math.GN2015
Menger remainders of topological groups
Angelo Bella, Seçil Tokgöz, Lyubomyr Zdomskyy
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 s…