Geodesic
Hausdorff Distance and Convex Sets
Journal of convex analysis, Tome 14 (2007) no. 1, pp. 109-117.

Voir la notice de l'article provenant de la source Heldermann Verlag

If A and B are two bounded, closed, non-empty, and convex subsets of a normed space X, then the Hausdorff distance between A and B is the same as the Hausdorff distance between the boundary of A and the boundary of B.
Classification : 52A07
Mots-clés : Hausdorff distance, convex sets 
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M. D. Wills. Hausdorff Distance and Convex Sets. Journal of convex analysis, Tome 14 (2007) no. 1, pp. 109-117. http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a8/