Non-meagre subgroups of reals disjoint with meagre sets

Ziemowit Kostana

Let $(X,+)$ denote $(\mathbb{R},+)$ or $(2^{\omega },{+}_2)$. We prove that for any meagre set $F\subseteq X$ there exists a subgroup $G\le X$ without the Baire property, disjoint with…