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On the circular hull property in normed planes

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Abstract

We extend the notion of circular hull to arbitrary normed planes and prove that a compact, convex set of constant Minkowskian width has the circular hull property in such a plane. Also we show how this property is related to the so called weak circular intersection property.

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Authors and Affiliations

  1. Fakultät für Mathematik, TU Chemnitz, D-09107, Chemnitz, Germany

    H. Martini & M. Spirova

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  1. H. Martini
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  2. M. Spirova
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Correspondence to H. Martini.

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Research supported by Deutsche Forschungsgemeintschaft.

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Martini, H., Spirova, M. On the circular hull property in normed planes. Acta Math Hung 125, 275–285 (2009). https://doi.org/10.1007/s10474-009-9018-9

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  • DOI: https://doi.org/10.1007/s10474-009-9018-9

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