Vietoris-Rips persistent homology, injective metric spaces, and the filling radius

DOI10.2140/agt.2024.24.1019zbMath1545.55006MaRDI QIDQ6536732

Sunhyuk Lim, Osman Berat Okutan, Facundo Mémoli

Publication date: 13 May 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

barcodepersistence modulegeodesic bicombingVietoris-Rips complexinjective metric spacehyperconvex spaceVietoris-Rips filtrationKuratowski embeddingmetric homotopy pairingmetric pairpersistence familypersistence functor

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Homotopy equivalences in algebraic topology (55P10) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

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