Properties of two selections in metric spaces of Busemann nonpositive curvature

Details Properties of two selections in metric spaces of Busemann nonpositive curvature Properties of two selections in metric spaces of Busemann nonpositive curvature

2007-02-13

arxiv.org/abs/math/0702361v2

Mathematics

Metric Geometry

10 pages

Scientific paper

In this article the author presents results on the selection for the space of
convex hulls of $n$ points and compacts of the complete convex metric space of
Busemann nonpositve curvature. Namely, we determine Lipschitz and H\"older
properties of barycenter and cirumcenter mappings.

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