Rank-One Connections at Infinity and Quasiconvex Hulls

K. Zhang

Geodesic

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Rank-One Connections at Infinity and Quasiconvex Hulls

K. Zhang

Journal of convex analysis, Tome 7 (2000) no. 1, pp. 19-46.

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Résumé

We define p-rank-one connections at infinity for an unbounded set K in M^N×n and show that the quasiconvex hull Q_p(K) may be bigger than K if K has a p-rank-one connection, where Q_p(K) is the zero set of the quasiconvex relaxation of the p-distance function to K. We examine some examples and compare Q_p(K) with Q_p(K) - a more restrictive quasiconvex hull of K.

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@article{JCA_2000_7_1_JCA_2000_7_1_a1,
     author = {K. Zhang},
     title = {Rank-One {Connections} at {Infinity} and {Quasiconvex} {Hulls}},
     journal = {Journal of convex analysis},
     pages = {19--46},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2000},
     url = {http://geodesic.mathdoc.fr/item/JCA_2000_7_1_JCA_2000_7_1_a1/}
}

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K. Zhang. Rank-One Connections at Infinity and Quasiconvex Hulls. Journal of convex analysis, Tome 7 (2000) no. 1, pp. 19-46. http://geodesic.mathdoc.fr/item/JCA_2000_7_1_JCA_2000_7_1_a1/