2025/06/18 by Sunhyuk Lim, Lim, Sunhyuk, Facundo Mémoli +1 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2506.15414
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.