Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold

2001/12/01 by Janko Latschev, J. Latschev · 54 citations
Mathematics · #Advanced Topics in Algebra #Combinatorics #Geometric Analysis and Curvature Flows #Hausdorff space #Homotopy #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Metric (unit) #Metric space #Pure mathematics #Riemannian manifold #Space (punctuation)

paper · doi:10.1007/pl00000526

published in Archiv der Mathematik 77(6), 522-528 (Springer Science and Business Media LLC)

crossref issued 2001/12/01 · crossref published 2001/12/01 · crossref published-print 2001/12/01 · openalex publication_date 2001/12/01 · crossref created 2006/02/17 · crossref deposited 2019/05/23 · openalex created_date 2025/10/10 · crossref indexed 2026/04/11 · openalex updated_date 2026/08/01

Citations

• Metric Structures for Riemannian and Non-Riemannian Spaces
• �ber den h�heren Zusammenhang kompakter R�ume und eine Klasse von zusammenhangstreuen Abbildungen

Cited by

• Testing contractibility in planar rips complexes
• Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces
• Vietoris–Rips complex [wikipedia]