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math.GT2016
A short proof of Grünbaum's Conjecture about affine invariant points
Natalia Jonard-Pérez
Let us denote by the hyperspace of all convex bodies of equipped with the Hausdorff distance topology. An affine invariant point is a continuous an…
math.GT2013
Hyperspaces of convex bodies of constant width
Sergey Antonyan, Natalia Jonard-Pérez, Saúl Juárez-Ordóñez
Let n be a natural number equal or greater than 2. In this paper we study the topological structure of certain hyperspaces of convex subsets of constant width, equipped with the Ha…