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Conical geodesic bicombings on subsets of normed vector spaces

Conical geodesic bicombings on subsets of normed vector spaces

Abstract We establish existence and uniqueness results for conical geodesic bicombings on subsets of normed vector spaces. Concerning existence, we give a first example of a convex geodesic bicombing that is not consistent. Furthermore, we show that under a mild geometric assumption on the norm a conical geodesic bicombing on …