Interleavings and matchings as representations

DOI10.1007/s00200-021-00530-7arXiv2004.03840OpenAlexW3208354531MaRDI QIDQ6056618

Emerson G. Escolar, Michio Yoshiwaki, Killian Meehan

Publication date: 30 October 2023

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03840

zbMATH Keywords

persistence modulesinterleavingsshoelace prosets

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Homology and cohomology theories in algebraic topology (55N99)

Cites Work

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• Metrics for generalized persistence modules
• Topological persistence and simplification
• Categorification of persistent homology
• The theory of the interleaving distance on multidimensional persistence modules
• The Structure and Stability of Persistence Modules
• Theory of interleavings on categories with a flow
• Induced Matchings of Barcodes and the Algebraic Stability of Persistence
• Decomposition of pointwise finite-dimensional persistence modules
• Proximity of persistence modules and their diagrams

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