Partial matchings induced by morphisms between persistence modules

DOI10.1016/j.comgeo.2023.101985arXiv2107.04519MaRDI QIDQ6103174

Rocío González-Díaz, M. Soriano-Trigueros, Álvaro Torras-Casas

Publication date: 26 June 2023

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04519

zbMATH Keywords

topological data analysispersistence modulesblock functionspartial matchings

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Other homology theories in algebraic topology (55N35)

Related Items (1)

Persistent extensions and analogous bars: data-induced relations between persistence barcodes

Cites Work

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• Matrix method for persistence modules on commutative ladders of finite type
• The persistent homology of a sampled map: from a viewpoint of quiver representations
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• Sur quelques points d'algèbre homologique
• Induced Matchings and the Algebraic Stability of Persistence Barcodes
• The Structure and Stability of Persistence Modules
• Topology and data
• Decomposition of pointwise finite-dimensional persistence modules
• Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension
• Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
• Persistence modules on commutative ladders of finite type

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