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math.MG2019
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…
math.MG2019
Metric currents and polylipschitz forms
Pekka Pankka, Elefterios Soultanis
We construct, for a locally compact metric space , a space of polylipschitz forms , which is a pre-dual for the space of metric currents of Ambr…