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Gromov--Hausdorff Distance Between Euclidean Unit Balls

Adams, Henry et al.
arXiv (All) · Papers
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51f99metric-geometry
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-t
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