Cosheaf representations of relations and Dowker complexes

DOI10.1007/s41468-021-00078-yzbMath1505.55029arXiv2005.12348OpenAlexW3031879401MaRDI QIDQ2125403

Yanyan Li

Publication date: 14 April 2022

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

Full work available at URL: https://arxiv.org/abs/2005.12348

zbMATH Keywords

binary relationcosheafsheafDowker complex

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Simplicial sets and complexes in algebraic topology (55U10)

Uses Software

• Sparse-Dowker-Nerves

Cites Work

• Topological signal processing
• The geometry of relations
• Whitney numbers of geometric lattices
• A functorial Dowker theorem and persistent homology of asymmetric networks
• Sparse Dowker nerves
• Homology groups of relations
• Rips complexes as nerves and a functorial Dowker-nerve diagram
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