Resumen de Sets of integers with no large sum-free subset

Sean Eberhard, Benjamin Green, Freddie Manners

• Answering a question of P. Erdos from 1965, we show that for every e>0 there is a set A of n integers with the following property: every set A ' ?A with at least (1 3 +e)n elements contains three distinct elements x,y,z with x+y=z .