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Median spaces and spaces with thin triangles.

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NPC - Non-positive curvature group actions and cohomology

A geodesic space has thin triangles if every triple of points belongs to the vertex set of a thin triangle. If such a space admits a structure of space with walls, then it is at finite Hausdorff distance of its associated median space. This shows for instance that the hyperbolic n-space is at finite Hausdorff distance from the associated median space.   Joint work with Cornelia Drutu and Frederic Haglund.



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