We give a characterization of metric space-valued Sobolev maps in terms of weak*
derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable …

We study the structure of the branch set of solutions to Plateau's problem in metric spaces
satisfying a quadratic isoperimetric inequality. In our 1st result, we give examples of spaces …

In the setting of subFinsler Carnot groups, we consider curves that satisfy the normal
equation coming from the Pontryagin Maximum Principle. We show that, unless it is …

We show that Sobolev maps with values in a dual Banach space can be characterized in
terms of weak derivatives in a weak* sense. Since every metric space embeds isometrically …

We show that whether loops can be shortcut in a group's Cayley graph depends on the
choice of finite generating set. Our example is the direct product of two rank-2 free groups …

In the setting of subFinsler Carnot groups, we consider curves that satisfy the normal
equation coming from the Pontryagin Maximum Principle. We show that, unless it is …