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1. Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stability Žiga Virk, 2019, original scientific article Keywords: persistence, geodesic space, minimal homology basis, geodesic circle, Rips complex |
2. Persistent homology and geometry Boštjan Lemež, 2022, doctoral dissertation Keywords: computational topology, homotopy reconstruction, Vietoris-Rips complex, selective Rips complex, Riemannian manifold, nerve theorem, geodesic space |
3. Critical edges in Rips complexes and persistence Peter Goričan, Žiga Virk, 2023, original scientific article Keywords: persistent homology, Rips complex, critical simplex, reconstruction result |