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Lipschitz retraction of finite subsets of Hilbert spaces
Published 26 Jun 2014 in math.MG | (1406.6742v2)
Abstract: Finite subset spaces of a metric space $X$ form a nested sequence under natural isometric embeddings $X=X(1)\subset X(2)\subset\dots$. We prove that this sequence admits Lipschitz retractions $X(n)\to X(n-1)$ when $X$ is a Hilbert space.
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