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Persistent homology of the sum metric

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Publication:2301895
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DOI10.1016/j.jpaa.2019.106244zbMath1437.55007arXiv1905.04383OpenAlexW2981736950MaRDI QIDQ2301895

Benjamin Filippenko, Gunnar Carlsson

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04383


zbMATH Keywords

Künneth formulapersistent homologyinterleaving distance


Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Homology of a product, Künneth formula (55U25)


Related Items (6)

Geometric Approaches to Persistent Homology ⋮ On Vietoris-Rips complexes of hypercube graphs ⋮ Operations on Metric Thickenings ⋮ Lower bounds on the homology of Vietoris-Rips complexes of hypercube graphs ⋮ Persistent magnitude ⋮ Homological algebra for persistence modules



Cites Work

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  • Computing persistent homology
  • Homological algebra for persistence modules
  • Topological pattern recognition for point cloud data
  • Proximity of persistence modules and their diagrams
  • Persistence modules with operators in Morse and Floer theory
  • On Products of Complexes


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