Sparse Dowker nerves

DOI10.1007/s41468-019-00028-9zbMath1431.55004arXiv1802.03655OpenAlexW2786516994WikidataQ127578690 ScholiaQ127578690MaRDI QIDQ2324601

Morten Brun, Nello Blaser

Publication date: 11 September 2019

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03655

zbMATH Keywords

persistent homologyČech complexRips complexDowker theoremsparse nerve

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) ?ech types (55N05) Homology and cohomology theories in algebraic topology (55N99) Applied homological algebra and category theory in algebraic topology (55U99)

Related Items (5)

Cosheaf representations of relations and Dowker complexes ⋮ A topological approach to inferring the intrinsic dimension of convex sensing data ⋮ Universality of the homotopy interleaving distance ⋮ Sparse-Dowker-Nerves ⋮ Sparse Dowker nerves

Uses Software

• GitHub
• SimBa

Cites Work

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• Sparse Dowker nerves
• Linear-size approximations to the Vietoris-Rips filtration
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• Homology groups of relations
• SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch-collapse
• Strong Collapse for Persistence
• Improved Topological Approximations by Digitization
• Visualizing Sparse Filtrations.
• Proximity of persistence modules and their diagrams

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