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LIPSCHITZ RETRACTION OF FINITE SUBSETS OF HILBERT SPACES

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Publication:2786587
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DOI10.1017/S0004972715000672zbMath1356.54034arXiv1406.6742OpenAlexW1842678794MaRDI QIDQ2786587

Leonid V. Kovalev

Publication date: 15 February 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6742

zbMATH Keywords

Hausdorff metricLipschitz retractionfinite subset space


Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Special maps on metric spaces (54E40)


Related Items

Lipschitz clustering in metric spaces, Old and new challenges in Hadamard spaces, On Lipschitz retraction of finite subsets of normed spaces, Growth rate of Lipschitz constants for retractions between finite subset spaces, Lipschitz retractions on symmetric products of trees



Cites Work

  • Finite subset spaces of \(S^1\)
  • On symmetric products of topological spaces
  • Lattices in [Double-Struck Capital C and Finite Subsets of a Circle]
  • Symmetric products of the line: Embeddings and retractions
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