6 problems

Let $X$ be a complex space with … A family of discrete subsets of $X$ is inequivalent when its members are inequivalent under the equivalence relation considered in the paper. Unco…

Let $n\in\mathbb{N}$. An expansion of a divisible ordered Abelian group is a structure obtained by adding definable relations to such a group. For a definable discrete set…

Let $R_\lambda$ denote the closure associated with the parameter $\lambda$, and consider the set-equality statements for the constructions discussed around the main and degree-two…

Let $\mathcal C$ be the set of complex parameters $\lambda$ for which $R_\lambda$ is convex. The complement-discreteness conjecture. The complement of $\mathcal C$ in the complex p…

Let $D$ be a discrete subring and let $R_\lambda$ and $Q_\lambda$ denote the corresponding closed and non-closed closure constructions. For integer parameters $\lambda\ge2$, the kn…

Let $(V,\mathcal{Q},Z,\mathbf{G})$ be a Voronoi space, and consider its set of perfect forms. Closedness and discreteness conjecture. The set of perfect forms in a Voronoi space is…