Free sets for a set-mapping relative to a family of sets

Antonio Avilés, Claribet Piña

Given a family $\mathcal{F}$ of subsets of $\{1,\dots ,m\}$, we try to compute the least natural number $n$ such that for every function $S:[\aleph_n]^{<ω}\longrightarrow [\aleph_n…