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.
Original language | English |
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Pages (from-to) | 1426-1451 |
Number of pages | 26 |
Journal | Proceedings of the London Mathematical Society |
Volume | 125 |
Issue number | 6 |
DOIs | |
State | Published - Dec 2022 |