The Open Graph Axiom and Menger's Conjecture

Franklin D. Tall, Stevo Todorcevic, Seçil Tokgöz

Menger conjectured that subsets of $\mathbb{R}$ with the Menger property must be $\sigma$-compact. While this is false when there is no restriction on the subsets of $\mathbb{R}$, for pro…