The closed Steinhaus properties of $\sigma$-ideals on topological groups

Taras Banakh, Lesia Karchevska, Alex Ravsky

We prove that any meager quasi-analytic subgroup of a topological group $G$ belongs to every $\sigma$-ideal $\mathcal{I}$ on $G$ possessing the closed $\pm n$-Steinhaus property for some…