Geodesic
Minimality in asymmetry classes
Studia Mathematica, Tome 124 (1997) no. 2, pp. 149-154

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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

Michał Wiernowolski 1

1 
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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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