Geodesic
Pointedness, Connectedness, and Convergence Results in the Space of Closed Convex Cones
Journal of convex analysis, Tome 11 (2004) no. 2, pp. 267-284 Cet article a éte moissonné depuis la source Heldermann Verlag

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Let K(H) denote the collection of all closed convex cones in a finite dimensional real Hilbert space H. Painleve-Kuratowski convergence in this space has been the subject of numerous publications. However, the link between convergence and pointedness has not been explored in its full extent. This note contributes to close this gap. Some results concerning the connected components of K(H) are also considered.
Mots-clés : pointed cone, solid cone, Painleve-Kuratowski convergence, polarity, connectedness 
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     author = {A. Iusem and A. Seeger},
     title = {Pointedness, {Connectedness,} and {Convergence} {Results} in the {Space} of {Closed} {Convex} {Cones}},
     journal = {Journal of convex analysis},
     pages = {267--284},
     year = {2004},
     volume = {11},
     number = {2},
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A. Iusem; A. Seeger. Pointedness, Connectedness, and Convergence Results in the Space of Closed Convex Cones. Journal of convex analysis, Tome 11 (2004) no. 2, pp. 267-284. http://geodesic.mathdoc.fr/item/JCA_2004_11_2_JCA_2004_11_2_a1/