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arXiv · 2506.15414

The G-Gromov-Hausdorff Distance and Equivariant Topology

Sunhyuk Lim·Facundo Memoli
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Abstract

For each arbitrary finite group $G$, we consider a suitable notion of Gromov Hausdorff distance between compact $G$ metric spaces and derive lower bounds based on equivariant topology methods. As applications, we prove equivariant rigidity and finiteness theorems, and obtain sharp bounds on the Gromov Hausdorff distance between spheres.

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Sunhyuk Lim, Facundo Memoli. 2026-01-28. The G-Gromov-Hausdorff Distance and Equivariant Topology. https://arxiv.org/abs/2506.15414

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