Non-meager free sets and independent families

Andrea Medini, Dušan Repovš, Lyubomyr Zdomskyy

Our main result is that, given a collection $\mathcal{R}$ of meager relations on a Polish space $X$ such that $|\mathcal{R}|\le \omega$, there exists a dense Baire subspace $F$ of $X$ (…