Triangulating metric surfaces

Paul Creutz; Matthew Romney

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arXiv · 2102.06667

Triangulating metric surfaces

Paul Creutz·Matthew Romney

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Abstract

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 result of Alexandrov--Zalgaller for surfaces of bounded curvature.

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Paul Creutz, Matthew Romney. 2022-06-09. Triangulating metric surfaces. https://arxiv.org/abs/2102.06667

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