2 problems

Let $\Omega$ be a domain, let $F_i\subseteq\mathbb{R}^{\Omega}$ for $i\in[k]$, and let $F_{\max}$ be their $k$-fold maximum. Logarithmic aggregation conjecture. For some universal…

Let $B ewcommand{mathbb{R}}{mathbb{R}}subsetmathbb{R}^d$ be the Euclidean unit ball. For $iin[k]$, let … be collections of bounded affine functions on $B$, and let $F_{\max}$ denot…