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# On the geometry of the set of compact subsets of riemannian spaceforms

## Didier A. Solís Gamboa Universidad Autónoma de Yucatán, México DF

In this talk we present some interesting features of the geodesic structure of the space of compact subsets of $\mathbb{R}^n$ and $\mathbb{H}^n$ endowed with the Hausdorff metric. In particular, we show that such spaces are not spaces of curvature bounded from below. We further investigate connections between these spaces and the Hilbert cube.

Seminario 1ª Planta, IEMATH

# Didier A. Solís Gamboa

## Universidad Autónoma de Yucatán, México DF

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México