Geodesic
Minimality in asymmetry classes
Studia Mathematica, Tome 124 (1997) no. 2, pp. 149-154
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We examine minimality in asymmetry classes of convex compact sets with respect to inclusion. We prove that each class has a minimal element. Moreover, we show there is a connection between asymmetry classes and the Rådström-Hörmander lattice. This is used to present an alternative solution to the problem of minimality posed by G. Ewald and G. C. Shephard in [4].
DOI : 10.4064/sm-124-2-149-154
Keywords: convex sets, symmetry, minimality, Hausdorff metric 
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Michał Wiernowolski. Minimality in asymmetry classes. Studia Mathematica, Tome 124 (1997) no. 2, pp. 149-154. doi: 10.4064/sm-124-2-149-154

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