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math.DG2020
The branch set of minimal disks in metric spaces
Paul Creutz, Matthew Romney
We study the structure of the branch set of solutions to Plateau's problem in metric spaces satisfying a quadratic isoperimetric inequality. In our first result, we give examples o…
math.MG2020
Quasiconformal geometry and removable sets for conformal mappings
Toni Ikonen, Matthew Romney
We study metric spaces defined via a conformal weight, or more generally a measurable Finsler structure, on a domain that vanishes on a compact set $E \subs…