Creutz, Paul and Romney, Matthew (2022). Triangulating metric surfaces. Proc. London Math. Soc., 125 (6). S. 1426 - 1452. HOBOKEN: WILEY. ISSN 1460-244X

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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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Creutz, PaulUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Romney, MatthewUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-675317
DOI: 10.1112/plms.12486
Journal or Publication Title: Proc. London Math. Soc.
Volume: 125
Number: 6
Page Range: S. 1426 - 1452
Date: 2022
Publisher: WILEY
Place of Publication: HOBOKEN
ISSN: 1460-244X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/67531

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