Magnitude homology and path homology

DOI10.1112/blms.12734arXiv2201.08047OpenAlexW4297474620MaRDI QIDQ6135061

Yasuhiko Asao

Publication date: 23 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08047

zbMATH Keywords

magnitude homologypath homology

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35)

Related Items (1)

Simplicial approach to path homology of quivers, marked categories, groups and algebras

Cites Work

• Unnamed Item
• On a cohomology of digraphs and Hochschild cohomology
• On the path homology theory of digraphs and Eilenberg-Steenrod axioms
• Categorifying the magnitude of a graph
• Path homology theory of multigraphs and quivers
• Magnitude homology of geodesic metric spaces with an upper curvature bound
• Homology of path complexes and hypergraphs
• Homotopy theory for digraphs
• Magnitude homology of enriched categories and metric spaces
• The magnitude of a graph
• Magnitude homology of metric spaces and order complexes
• Magnitude homology of graphs and discrete Morse theory on Asao-Izumihara complexes

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