Local characterizations for decomposability of 2-parameter persistence modules

DOI10.1007/s10468-022-10189-4arXiv2008.02345MaRDI QIDQ6146906

Steve Y. Oudot, Vadim Lebovici, Magnus Bakke Botnan

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02345

zbMATH Keywords

representation theorytopological data analysismultiparameter persistence

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Representations of quivers and partially ordered sets (16G20)

Cites Work

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• The indecomposable representations of the dihedral 2-groups
• Algebraic stability of zigzag persistence modules
• Homology and robustness of level and interlevel sets
• Decomposition of exact pfd persistence bimodules
• Decomposition of pointwise finite-dimensional persistence modules
• Decomposition of persistence modules
• Zigzag persistent homology and real-valued functions
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem

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