Author

Henry Adams

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Preprint Sep 2026

Gromov--Hausdorff Distance Between Euclidean Unit Balls

What is the Gromov--Hausdorff distance between Euclidean unit balls of different dimensions, denoted by $d_\gh(B^m,B^n)$, for $m>n$? Note that the lower bound coming from the stability of persistent homology is zero, since all balls possess identical (trivial) persistent homology. To establish non-trivial lower bounds,...

Henry Adams, Kush Sharma · 0 citations