Metric thickenings of Euclidean submanifolds

DOI10.1016/j.topol.2018.12.014zbMath1412.55009arXiv1709.02492OpenAlexW2751433498MaRDI QIDQ1710638

Joshua Mirth, Henry Adams

Publication date: 23 January 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02492

zbMATH Keywords

homotopypersistent homologypositive reachclique complexnerve lemmaVietoris-Rips complexmetric reconstructionČech complexEuclidean submanifoldmetric thickening

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Metric spaces, metrizability (54E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (7)

On the Reconstruction of Geodesic Subspaces of ℝN ⋮ Vietoris-Rips metric thickenings of the circle ⋮ Operations on Metric Thickenings ⋮ Vietoris-Rips complexes of metric spaces near a metric graph ⋮ The persistent topology of optimal transport based metric thickenings ⋮ METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES ⋮ Vietoris thickenings and complexes have isomorphic homotopy groups

Uses Software

• NormFet

Cites Work

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