Universal distances for extended persistence

DOI10.1007/S41468-024-00184-7MaRDI QIDQ6645898

Benedikt Fluhr, Magnus Bakke Botnan, Ulrich Bauer

Publication date: 29 November 2024

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

zbMATH Keywords

topological data analysispersistent homologybottleneck distancepersistence diagramsReeb graphs

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Cites Work

• Title not available (Why is that?)
• Categorified Reeb graphs
• Stability of persistence diagrams
• Metrics for generalized persistence modules
• Algebraic topology
• Extending persistence using Poincaré and Lefschetz duality
• Topological persistence and simplification
• Homology and robustness of level and interlevel sets
• Parametrized homology via zigzag persistence
• The Reeb graph edit distance is universal
• A derived isometry theorem for sheaves
• Moduli spaces of Morse functions for persistence
• Persistent homology and microlocal sheaf theory
• A comparison framework for interleaved persistence modules
• The theory of the interleaving distance on multidimensional persistence modules
• Stability of critical points with interval persistence
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Local Equivalence and Intrinsic Metrics between Reeb Graphs
• Bottleneck stability for generalized persistence diagrams
• Zigzag persistent homology and real-valued functions
• Stable homotopy categories

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