An $({\aleph }_0,k+2)$-Theorem for $k$-Transversals

Chaya Keller, Micha A. Perles

A family $\mathcal{F}$ of sets satisfies the $(p,q)$-property if among every $p$ members of $\mathcal{F}$, some $q$ can be pierced by a single point. The celebrated $(p,q)$-theorem…