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Maximal r-Diameter Sets and Solids of Constant Width - MaRDI portal

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Maximal r-Diameter Sets and Solids of Constant Width

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Publication:6218255

arXiv1003.5824MaRDI QIDQ6218255

Author name not available (Why is that?)

Publication date: 30 March 2010

Abstract: We recall the definition of an r-maximal set in a metric space as a maximal subset of diameter r. In the special case when the metric space is Euclidean such a set is exactly a solid of constant diameter r. In the process of reviewing the theory of these objects we provide a simple construction which generates a large class of such solids.












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