Magnitude homology of metric spaces and order complexes

DOI10.1112/blms.12469zbMath1472.55007arXiv1803.04247OpenAlexW3132933637MaRDI QIDQ5006400

Masahiko Yoshinaga, Ryuki Kaneta

Publication date: 13 August 2021

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

Full work available at URL: https://arxiv.org/abs/1803.04247

zbMATH Keywords

metric spacesorder complexesmagnitude homology

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35)

Related Items (4)

Magnitude cohomology ⋮ Magnitude homology of enriched categories and metric spaces ⋮ Magnitude homology and path homology ⋮ On the strength of chromatic symmetric homology for graphs

Cites Work

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• The magnitude of metric spaces
• Categorifying the magnitude of a graph
• Smoothness filtration of the magnitude complex
• The Euler characteristic of a category as the sum of a divergent series
• The Euler characteristic of a category
• Magnitude homology of enriched categories and metric spaces
• The magnitude of a metric space: from category theory to geometric measure theory
• Combinatorial algebraic topology

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