A coanalytic Menger group that is not $\sigma$-compact

Authors: SEÇİL TOKGÖZ

Abstract: Under $V=L$ we construct coanalytic topological subgroups of reals, demonstrating that even for definable groups of reals, selection principles may differ.

Keywords: Coanalytic, Menger, Hurewicz, Rothberger, $\gamma$-property, $\sigma$-compact, $V=L$, productively Lindelöf, topological group

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