Sunhyuk Lim

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20202026

most citedClassical Multidimensional Scaling on Metric Measure Spaces

2 citations · 4 across the 10 of their papers we have counts for

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math.MG2026

Vietoris--Rips Coindex Thresholds for Round Spheres: Spherical Joins and Chromatic Obstructions for Gromov--Hausdorff Distances

Sunhyuk Lim, Facundo Mémoli, Qingsong Wang

For $0 \leq m \leq n$ , let $c_{m, n}$ be the infimum of scales at which the Vietoris--Rips filtration of the round sphere $S^{m}$ admits a continuous odd map from $S^{n}$ .…

math.MG2026

The Gromov-Hausdorff Distance Between Consecutive Spheres

Donghan Kim, Sunhyuk Lim, Facundo Memoli

We determine the Gromov-Hausdorff distance between consecutive unit round spheres equipped with their geodesic metrics. Put $ζ_{n} := arccos (- \frac{1}{n + 1}),$ the common geodesic dis…