4 citations · 7 across the 8 of their papers we have counts for
4 papers · 1 filter
Triangulating metric surfaces
Paul Creutz, Matthew Romney
We prove that any length metric space homeomorphic to a surface may be decomposed into non-overlapping convex triangles of arbitrarily small diameter. This generalizes a previous r…
Maximal metric surfaces and the Sobolev-to-Lipschitz property
Paul Creutz, Elefterios Soultanis
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated not…
Space of minimal discs and its compactification
Paul Creutz
We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the boundary circle. We show that the…
Majorization by Hemispheres & Quadratic Isoperimetric Constants
Paul Creutz
Let be a Banach space or more generally a complete metric space admitting a conical geodesic bicombing. We prove that every closed -Lipschitz curve may…