Coarse infinite-dimensionality of hyperspaces of finite subsets

DOI10.1007/s40879-021-00515-3zbMath1487.54020OpenAlexW4200124550MaRDI QIDQ2115341

Thomas Weighill, Nicolò Zava, Takamitsu Yamauchi

Publication date: 15 March 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-021-00515-3

zbMATH Keywords

hyperspaceHausdorff metriccoarse embeddabilitycoarsely \(n\)-to-1 maps

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (2)

The ℓ ^p -metrization of functors with finite supports ⋮ The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space

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