5 problems

Topological one-dimensionality conjecture. Any set that carries a regular resistance form is a topologically one-dimensional space when equipped with the associated resistance metr…

Let $N$ be the number of rotor directions and let $K$ denote the number of distinct one-dimensional solution branches. The numerical exhaustion method and solver resolution are the…

Let $N$ denote the number of rotor directions, let $\mathcal{S}^*$ be the solution landscape, and let the coherent-collapse Class IV-B consist of closed one-dimensional branches on…

Let $X$ be a compact Hausdorff space, and let $\tau$ be a topological involution of $X$. Denote the set of fixed points of $\tau$ by $E$. The algebra $C(X,\tau)$ is the algebra of…

Dimension conjecture. For every such $K$ and $n$,