3 problems

Hereditary-discrepancy characterization. A monotone class $\mathscr{C}$ is nowhere dense if and only if, for every partitioned formula $\varphi(\bar{x};\bar{y})$, every…

Admissible-lift conjecture. Every local-global convergent sequence of graphs in a nowhere dense class has a modeling limit.

Structural conjecture for nowhere dense classes. If $\mathcal C$ does not have bounded expansion, then there exists an integer $p$ such that $\mathcal C$ includes $p$-subdivisions…