4 problems

Let $G$ be a stratified Banach-Lie group with finite-dimensional commutator subgroup. An Aronszajn null set is a set null on the relevant affine lines in the Aronszajn sense, and a…

Existence conjecture. Two $C^*$-algebras playing the roles of $\mathscr{SC}(U)\rtimes U$ and $\mathscr{SC}(U)\rtimes_\tau U$ can be defined, namely…

Existence conjecture. $\operatorname{WLO}_{rig}(L)$ is well-defined. In particular, all limits involved exist.

Let $d\geq 2$. For every subset $K\subset \mathbb{R}^d$, the main theorem asserts the existence of a connected set $\tilde\Gamma\subset\mathbb{R}^d$ containing $K$, with controlled…