Smoothness filtration of the magnitude complex

DOI10.1515/forum-2019-0091zbMath1472.55006arXiv1809.06593OpenAlexW3000157383WikidataQ126336489 ScholiaQ126336489MaRDI QIDQ2178794

Kiyonori Gomi

Publication date: 11 May 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06593

zbMATH Keywords

spectral sequencemetric spacemagnitude homology

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Planar graphs; geometric and topological aspects of graph theory (05C10) Metric geometry (51F99) Spectral sequences in algebraic topology (55T99) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35)

Related Items (3)

Magnitude homology of enriched categories and metric spaces ⋮ Persistent magnitude ⋮ Magnitude homology of metric spaces and order complexes

Cites Work

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• Positive definite metric spaces
• The magnitude of metric spaces
• Categorifying the magnitude of a graph
• Magnitude meets persistence: homology theories for filtered simplicial sets
• Magnitude cohomology

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