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A Lipschitz map $f: \mathcal{C} \to H$ for the Hadamard space $H$. Sketch of the construction

Metric Geometry 2007-05-23 v1

Abstract

We introduce the sketch of construction of a Lipschitz function f:CHf: \mathcal{C} \to H, here the set C\mathcal{C} consists of all compact convex subsets of the Hadamard space HH. Note that f({x})={x}f(\{x\})=\{x\} for any point xHx \in H.

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Cite

@article{arxiv.math/0410011,
  title  = {A Lipschitz map $f: \mathcal{C} \to H$ for the Hadamard space $H$. Sketch of the construction},
  author = {P. N. Ivanshin},
  journal= {arXiv preprint arXiv:math/0410011},
  year   = {2007}
}

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