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math.GN2025
Tractable Metric Spaces and Magnitude Continuity
Sara Kališnik, Davorin Lešnik
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Since its inception, it has inspired active research into its connections with integral geometry, geome…
math.GN2020★ 1 cited
Finding the Homology of Manifolds using Ellipsoids
Sara Kalisnik, Davorin Lesnik
A standard problem in applied topology is how to discover topological invariants of data from a noisy point cloud that approximates it. We consider the case where a sample is drawn…