Journal of Convex Analysis 06 (1999), No. 2, 395--398
Copyright Heldermann Verlag 1999
The Barrier Cone of a Convex Set and the Closure of the Cover
FEGSS, Université de Liège, 7 bd du Rectorat, 4000 Liège, Belgium
J. C. Dupin
Dép. de Mathématiques, Université de Valenciennes, 59304 Valenciennes, France
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).
Keywords: Convex set, barrier cone, recession cone, cover, polar cone.
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