Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes

DOI10.1353/ajm.2022.0026zbMath1504.57043arXiv1812.10976OpenAlexW2908292748MaRDI QIDQ5039474

Matthew C. B. Zaremsky

Publication date: 13 October 2022

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10976

zbMATH Keywords

Morse theoryfiniteness propertiesword metricdiscrete Morse theorygeometric group theoryVietoris-Rips complex

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Geometric group theory (20F65) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items

Vietoris-Rips metric thickenings of the circle ⋮ The persistent topology of optimal transport based metric thickenings ⋮ Integration of vector fields on cell complexes and Morse theory ⋮ METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES ⋮ Equivariant Morse theory on Vietoris–Rips complexes and universal spaces for proper actions ⋮ Vietoris thickenings and complexes have isomorphic homotopy groups ⋮ Morse theory of Bestvina–Brady type for posets and matchings

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