The space of persistence diagrams fails to have Yu's property A

zbMath1483.54020arXiv1902.02288MaRDI QIDQ5156328

Gregory C. Bell, A. Lawson, Neil Pritchard, Dan Yasaki

Publication date: 15 October 2021

Full work available at URL: https://arxiv.org/abs/1902.02288

zbMATH Keywords

asymptotic dimensionproperty Apersistence diagrams

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Dimension theory in general topology (54F45)

Related Items (2)

Persistence curves: a canonical framework for summarizing persistence diagrams ⋮ Describing topology on the set of persistence diagrams

Cites Work

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• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Embeddings of persistence diagrams into Hilbert spaces
• Coarsely embeddable metric spaces without Property A
• Coverage in sensor networks via persistent homology
• The Structure and Stability of Persistence Modules
• Amenable group actions and the Novikov conjecture
• Nonembeddability of persistence diagrams with $p>2$ Wasserstein metric
• The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space

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