bicombing
nounEtymology From bi- + combing.
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Mathematics, Sciences A selection of a path for which two points moving simultaneously along lines that begin and end at a distance less than or equal to 1 apart always remain within a specified bounded distance of each other, independent of the lengths of the paths.
- In this paper, we prove the Cartan-Hadamard Theorem in a more general setting, namely for spaces which are not uniquely geodesic but locally possess a suitable selection of geodesics, a so-called convex bicombing.2015, Benjamin Miesch, “The Cartan-Hadamard Theorem for Metric Spaces with Local Bicombings”, in arXiv: