Maximal almost disjoint families, determinacy, and forcing

Karen Bakke Haga, David Schrittesser, Asger Törnquist

We study the notion of $\mathcal{J}$-MAD families where $\mathcal{J}$ is a Borel ideal on $\omega$. We show that if $\mathcal{J}$ is an arbitrary $F_{\sigma }$ ideal, or is any finite or countably…