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Pré-Publication, Document De Travail Année : 2005

Weakly convex closed subsets of spaces with bounded nonpositive curvature

Stephane Grognet
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Résumé

On R^n endowed with a riemannian metric of bounded nonpositive curvature, the weakly convex closed subsets are topologically trivial. The stability of such subsets under intersection characterizes the euclidean spaces.
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Dates et versions

hal-00005878 , version 1 (08-07-2005)

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Stephane Grognet. Weakly convex closed subsets of spaces with bounded nonpositive curvature. 2005. ⟨hal-00005878⟩
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