bicombing

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English[edit]

Etymology[edit]

bi- +‎ combing

Noun[edit]

bicombing (plural bicombings)

  1. (mathematics) 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.
    • 2015, Benjamin Miesch, “The Cartan-Hadamard Theorem for Metric Spaces with Local Bicombings”, in arXiv[1]:
      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.