Magnitude cohomology

DOI10.1007/s00209-022-03013-8OpenAlexW4280589540MaRDI QIDQ2152847

Richard Hepworth

Publication date: 11 July 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06832

zbMATH Keywords

metric spacescategorificationenriched categoriesmagnitude

Mathematics Subject Classification ID

Metric geometry (51F99) Categories in geometry and topology (18F99) Other homology theories in algebraic topology (55N35) Enriched categories (over closed or monoidal categories) (18D20)

Related Items (1)

Smoothness filtration of the magnitude complex

Cites Work

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• The magnitude of metric spaces
• A microlocal characterization of Lipschitz continuity
• Categorifying the magnitude of a graph
• The Euler characteristic of a category
• On the groups \(H(\Pi,n)\). I
• On the groups \(H(\Pi,n)\). II
• Magnitude homology of enriched categories and metric spaces
• The magnitude of a graph
• Metric spaces, generalized logic, and closed categories
• On the magnitude function of domains in Euclidean space
• Magnitude homology of metric spaces and order complexes

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