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

We define a simple obstruction to Yu's property A that we call $k$-prisms. This structure allows for a straightforward proof that the space of persistence diagrams fails to have property A in a Wasserstein metric.

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Bibliographic Details
Main Authors Bell, Greg, Lawson, Austin, Pritchard, C. Neil, Yasaki, Dan
Format Journal Article
LanguageEnglish
Published 06.02.2019
Subjects
Mathematics - Geometric Topology
Mathematics - Metric Geometry
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Summary:We define a simple obstruction to Yu's property A that we call $k$-prisms. This structure allows for a straightforward proof that the space of persistence diagrams fails to have property A in a Wasserstein metric.
DOI:10.48550/arxiv.1902.02288