A sandwich with segment convexity

A sandwich with segment convexity

The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan--Hadamard manifold, or more generally: a reduced Birkhoff--Beatley system. Some exotic behavior of convex hulls are also studied.

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Veröffentlicht in:arXiv.org 2020-09
Hauptverfasser: Bessenyei, Mihály, Dávid Cs Kertész, Lovas, Rezső L
Format: Artikel
Sprache:eng
Schlagworte:
Convexity
Hulls
Separators
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Zusammenfassung:The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan--Hadamard manifold, or more generally: a reduced Birkhoff--Beatley system. Some exotic behavior of convex hulls are also studied.
ISSN:2331-8422