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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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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