3 problems

Let $(\Gamma, {\preccurlyeq})$ be a totally ordered set and let $(X, \tau)$ be a $\Gamma$-ultrametrizable topological space, meaning that $\tau=\tau_{d_{\Gamma}}$ for some ultramet…

Existence conjecture. There exists a tropical Fermat–Weber point

Tropical PCA nesting conjecture. For every $s\geq 1$, there exists a tropical Fermat-Weber point $x^*\in\mathcal U_m$ of the sample that is contained in the $s$th-order tropical PC…