Vietoris-Rips metric thickenings of the circle

DOI10.1007/s41468-023-00130-zarXiv2206.03539OpenAlexW4383370656WikidataQ121007790 ScholiaQ121007790MaRDI QIDQ6061910

Michael Moy

Publication date: 30 November 2023

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

Full work available at URL: https://arxiv.org/abs/2206.03539

zbMATH Keywords

homotopypersistent homologyVietoris-Rips complexapplied topology

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Classification of homotopy type (55P15) Metric geometry (51F99)

Cites Work

• Clique complexes and graph powers
• Persistence stability for geometric complexes
• Metric thickenings of Euclidean submanifolds
• Footprints of geodesics in persistent homology
• The Vietoris-Rips complexes of a circle
• Introduction to Topological Manifolds
• On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
• Metric Reconstruction Via Optimal Transport
• Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes
• METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES
• Vietoris thickenings and complexes have isomorphic homotopy groups
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