Author

Sara Kališnik

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Preprint Sep 2026

Continuity of Magnitude at Finite Subsets of $\ell_1^N$

Magnitude is an isometric invariant of metric spaces introduced by Leinster in 2011. It is nowhere continuous on the Gromov--Hausdorff space of finite metric spaces, however, positive continuity results do exist if we restrict the ambient space. In this paper, we prove that magnitude is continuous at every finite subse...

Sara Kališnik, Davorin Lesnik · 0 citations