3 problems

Let $\mathcal{F}$ denote the set of fusible numbers, and let $\mathcal{F}(\alpha)$ denote its value at the ordinal $\alpha$. Fusible-number self-similarity conjecture. The fusible…

Interval representation conjecture. Every fusible number in $I_{x,n}$, for $n\geq 1$, can be written as

Let ${\mathcal{F}}$ be the set of fusible numbers. For $a\in{\mathcal{F}}$, let $s(a)$ be its successor, let $m(a)$ denote the relevant minimum gap, and write … as before. Main con…