Geodesic
The Barrier Cone of a Convex Set and the Closure of the Cover
Journal of convex analysis, Tome 6 (1999) no. 2, pp. 395-398
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

For an arbitrary non-empty closed convex set A in Rn, we prove that the polar of the difference between the barrier cone B(A) and its interior int(B(A)) coincides with the recession cone 0+(cl(G(A))) of the closure of the cover G(a).
Classification : 52A20
Mots-clés : Convex set, barrier cone, recession cone, cover, polar cone 
@article{JCA_1999_6_2_JCA_1999_6_2_a10,
     author = {J. Bair and J. C. Dupin},
     title = {The {Barrier} {Cone} of a {Convex} {Set} and the {Closure} of the {Cover}},
     journal = {Journal of convex analysis},
     pages = {395--398},
     year = {1999},
     volume = {6},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a10/}
}
TY  - JOUR
AU  - J. Bair
AU  - J. C. Dupin
TI  - The Barrier Cone of a Convex Set and the Closure of the Cover
JO  - Journal of convex analysis
PY  - 1999
SP  - 395
EP  - 398
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a10/
ID  - JCA_1999_6_2_JCA_1999_6_2_a10
ER  - 
%0 Journal Article
%A J. Bair
%A J. C. Dupin
%T The Barrier Cone of a Convex Set and the Closure of the Cover
%J Journal of convex analysis
%D 1999
%P 395-398
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a10/
%F JCA_1999_6_2_JCA_1999_6_2_a10
J. Bair; J. C. Dupin. The Barrier Cone of a Convex Set and the Closure of the Cover. Journal of convex analysis, Tome 6 (1999) no. 2, pp. 395-398. http://geodesic.mathdoc.fr/item/JCA_1999_6_2_JCA_1999_6_2_a10/