Geodesic
External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 939-957

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

Let K be a solid closed convex set in a normed space. We study the geometry of the boundary of K with the help of some multivalued maps defined on the exterior of K. Supporting cones and drops are the main tools of analysis.
Classification : 49J53, 52A07
Mots-clés : Convex set, boundary point, supporting cone, drop, multivalued map 
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     author = {J. P. Moreno and A. Seeger},
     title = {External {Analysis} of {Boundary} {Points} of {Convex} {Sets:} {Supporting} {Cones} and {Drops}},
     journal = {Journal of convex analysis},
     pages = {939--957},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a22/}
}
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J. P. Moreno; A. Seeger. External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 939-957. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a22/