Ideals with Smital properties

Marcin Michalski, Robert Rałowski, Szymon Żeberski

A $\sigma$-ideal $\mathcal{I}$ on a Polish group $(X,+)$ has Smital Property if for every dense set $D$ and a Borel $\mathcal{I}$-positive set $B$ the algebraic sum $D+B$ is a complemen…