Geodesic
Basic Properties of Evenly Convex Sets
Journal of convex analysis, Tome 14 (2007) no. 1, pp. 137-148.

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

A subset of a finite-dimensional real vector space is called evenly convex if it is the intersection of a collection of open halfspaces. The study of such sets was initiated in 1952 by Werner Fenchel, who defined a natural polarity operation and mentioned some of its properties. Over the years since then, evenly convex sets have made occasional appearances in the literature but there has been no systematic study of their basic properties. Such a study is undertaken in the present paper.
Classification : 52A20, 15A39
Mots-clés : Evenly convex set, evenly convex cone, section, projection 
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V. Klee; E. Maluta; C. Zanco. Basic Properties of Evenly Convex Sets. Journal of convex analysis, Tome 14 (2007) no. 1, pp. 137-148. http://geodesic.mathdoc.fr/item/JCA_2007_14_1_JCA_2007_14_1_a10/