Directed homology and persistence modules

Eric Goubault

doi:10.1007/s41468-024-00197-2

Directed homology and persistence modules

Eric Goubault

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

1 Citation (Scopus)

Résumé

We give a mostly self-contained account on a construction for a directed homology theory based on modules over algebras, linking it to both persistent homology and natural homology. We study its first properties, among which are relative homology and Mayer–Vietoris long exact sequences and a Künneth formula.

langue originale	Anglais
Numéro d'article	3
journal	Journal of Applied and Computational Topology
Volume	9
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s41468-024-00197-2
état	Publié - 1 mars 2025

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title = "Directed homology and persistence modules",

abstract = "We give a mostly self-contained account on a construction for a directed homology theory based on modules over algebras, linking it to both persistent homology and natural homology. We study its first properties, among which are relative homology and Mayer{\textendash}Vietoris long exact sequences and a K{\"u}nneth formula.",

keywords = "Directed topology, Natural homology, Persistent homology",

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KW - Directed topology

KW - Natural homology

KW - Persistent homology

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DO - 10.1007/s41468-024-00197-2

M3 - Article

AN - SCOPUS:85212792250

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Directed homology and persistence modules

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