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20152023
most citedPolyhedral approximation of metric surfaces and applications to uniformization

19 citations · 30 across the 10 of their papers we have counts for

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math.MG2021★ 19 cited

Polyhedral approximation of metric surfaces and applications to uniformization

Dimitrios Ntalampekos, Matthew Romney

We prove that any length metric space homeomorphic to a 2-manifold with boundary, also called a length surface, is the Gromov-Hausdorff limit of polyhedral surfaces with controlled…

math.MG2021

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…