4 problems

Frank's conjecture. The largest irredundant subfamily of $F$ has the same cardinality as the smallest generating family of $F$.

Let $\mathcal{S}=(\mathcal{I}_1,\mathcal{I}_2,\dots)$ be an infinite-length strategy, and define … Here $\operatorname{disc}(n)$ is the optimal discrepancy for finite strategies of…

For each positive integer $n$, let $\operatorname{disc}(n)$ be the minimum, over all strategies of length $n$ that repeatedly split an existing interval into two starting from…

Let $\operatorname{disc}(n)$ denote the minimum possible discrepancy among strategies producing $n$ intervals, and let the lex-merge strategy be the strategy described in the paper…