Geodesic
On Closed Starshaped Sets
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 659-671

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

We present several new results on closed starshaped sets in Rd which mainly refer to the kernel and the boundary structure of such sets. In particular, we introduce so-called dispensable points which, in a certain sense, play the same role for closed starshaped sets that extreme points play for convex sets. Based on this notion we prove an analogue of the famous Krein-Milman theorem.
Classification : 52-99, 52A01, 52A30
Mots-clés : Asymptotic structure, cone, dispensable point, extreme point, kernel, Krein-Milman theorem, Minkowski's theorem, starshaped set, support cone 
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     author = {G. Hansen and H. Martini},
     title = {On {Closed} {Starshaped} {Sets}},
     journal = {Journal of convex analysis},
     pages = {659--671},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a18/}
}
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G. Hansen; H. Martini. On Closed Starshaped Sets. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 659-671. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a18/