Abstract
We show that analogues of the Alon-Kleitman (p,q)-theorem can be derived from a fractional Helly property for the (intersection closure of) the considered set system, and provide a topological generalization of the Alon-Kleitman result.
We show that analogues of the Alon-Kleitman (p,q)-theorem can be derived from a fractional Helly property for the (intersection closure of) the considered set system, and provide a topological generalization of the Alon-Kleitman result.